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modest numbers
A number  $n$  is called modest if its digits can be separated into two numbers  $a$  and  $b$  such that  $n$  divided by  $b$  gives  $a$  as remainder.

For example, 2851111 is modest because divided by 1111 gives 285 as remainder.

The first modest numbers are 13, 19, 23, 26, 29, 39, 46, 49, 59, 69, 79, 89, 103, 109, 111, 133, 199, 203, 206, 209, 211, 218, 222, 233, 266 more terms

Modest numbers can also be... (you may click on names or numbers and on + to get more values)

a-pointer 13 103 811 + 1989233333 ABA 164738 624962 10224242 + 1734028611 aban 13 19 23 + 1990000717 abundant 222 444 618 + 49989702 Achilles 238003927 272004488 918015147 + 1976030303 admirable 222 618 654 + 99220336 alt.fact. 19 alternating 23 29 49 + 989696969 amenable 13 29 49 + 999998001 amicable 280540 360027675 658009485 721522755 apocalyptic 218 222 411 + 29999 arithmetic 13 19 23 + 9999999 balanced p. 211 733 23333 + 1999002079 Bell 203 betrothed 1648 binomial 406 666 3081 + 1984027528 brilliant 49 209 299 + 999511111 c.decagonal 211 911 17111 + 991020811 c.heptagonal 1618 1933 10018 + 1950433948 c.nonagonal 406 7021 140185 + 1984027528 c.octagonal 49 82369 312481 + 1666027489 c.pentagonal 1266 40006 136306 + 1808823256 c.square 13 545 39481 + 950174825 c.triangular 19 46 109 + 1798076260 cake 26 299 4090 + 1965015327 Canada 16999 Carmichael 340561 Chen 13 19 23 + 99959999 congruent 13 23 29 + 9999999 cube 578009537 1009027027 Cunningham 26 399 511 + 1968075768 Curzon 26 29 69 + 199804878 cyclic 13 19 23 + 9989999 D-number 39 69 111 + 7023333 d-powerful 89 209 333 + 9865423 de Polignac 509 599 809 + 99901517 decagonal 151515 156222 500202 + 1540032670 deceptive 7777 11111 130351 + 1891663741 deficient 13 19 23 + 9999999 dig.balanced 19 49 209 + 199890243 Duffinian 39 49 111 + 9998991 eban 46 2006 2030 + 66066066 economical 13 19 23 + 19999999 emirp 13 79 199 + 199333333 emirpimes 26 39 49 + 99929999 equidigital 13 19 23 + 19999999 eRAP 28518 90243 1220549 + 1608329238 esthetic 23 89 545 + 1232121212 Eulerian 26 2036 evil 23 29 39 + 999989991 fibodiv 19 199 911 + 1999999999 Fibonacci 13 89 233 Friedman 1022 1827 4088 + 640264 frugal 14063 98441 112999 + 998016467 gapful 1030 1037 1090 + 1999889991 Gilda 29 49 Giuga 66198 good prime 29 59 311 + 172001287 happy 13 19 23 + 9983333 Harshad 111 133 209 + 1999826829 heptagonal 5688 8037 40132 + 1612099999 hex 19 721 1027 + 1807002919 hexagonal 10011 30135 84666 + 1896263736 hoax 627 654 1111 + 99818181 Hogben 13 111 133 + 1024992241 Honaker 1433 1933 5009 + 998111111 house 933 3563 35555 + 8289108 hungry 2003 hyperperfect 1333 2133 iban 23 103 111 + 777777 iccanobiF 13 39 836 idoneal 13 133 inconsummate 266 411 422 + 999801 insolite 111 111111111 interprime 26 39 69 + 99965853 junction 103 109 111 + 99921951 Kaprekar 999 7777 9999 + 1111111111 katadrome 654 721 763 + 96432 Kynea 23 79 Lehmer 133 511 763 + 1948016071 lonely 23 211 Lucas 29 199 lucky 13 49 69 + 9992727 Lynch-Bell 412 824 1236 + 312648 m-pointer 23 2111 3221111 + 1312111111 magic 111 21621951 magnanimous 23 29 49 + 80009 metadrome 13 19 23 + 2678 Moran 111 133 209 + 99036585 narcissistic 92727 nialpdrome 111 211 222 + 1111111111 nonagonal 46 111 4699 + 1722554325 nude 111 222 333 + 496867896 oban 13 19 23 + 999 octagonal 133 833 1045 + 1976333333 odious 13 19 26 + 999999999 Ormiston 1000231 1900813 10600813 + 1990004329 palindromic 111 222 333 + 1999889991 pancake 29 46 79 + 1645629766 panconsummate 23 39 59 + 721 pandigital 19 1022 2022 + 1980467532 partition 627 2436 pentagonal 3577 10045 15555 + 1793439837 pernicious 13 19 26 + 9998991 Perrin 29 39 209 8090 persistent 1026974358 1053287469 1083697524 + 1872506493 Pierpont 13 19 109 433 plaindrome 13 19 23 + 1999999999 Poulet 35333 83333 256999 + 799808401 power 49 82369 312481 + 1666027489 powerful 49 82369 312481 + 1976030303 practical 666 812 888 + 9964482 prim.abundant 222 618 654 + 99220336 prime 13 19 23 + 1999633333 primeval 13 1037 1012345679 pronic 812 6162 14042 + 1840023920 Proth 13 49 209 + 1484718081 pseudoperfect 222 444 618 + 999999 repdigit 111 222 333 + 1111111111 repfigit 19 repunit 13 111 133 + 1111111111 Rhonda 154462 259333 23757125 + 1624142857 Ruth-Aaron 49 2299 3248 + 1495298701 Saint-Exupery 52005720 240003960 1920031680 Sastry 6099 self 209 211 222 + 999776223 self-describing 4444 224444 666666 + 88888888 semiprime 26 39 46 + 99989999 sliding 29 133 6266 Smith 627 654 666 + 99990243 sphenic 222 266 399 + 99979999 square 49 82369 312481 + 1666027489 star 13 433 1633 + 1702018837 straight-line 111 222 333 + 1111111111 strobogrammatic 69 111 609 + 1818008181 strong prime 29 59 79 + 99949999 subfactorial 1854 super Niven 100110 101010 200220 + 1400200200 super-d 19 69 333 + 9998181 tau 444 824 872 + 998844444 taxicab 40033 320264 1080891 + 1784048168 tetrahedral 3654 4060 273819 + 22108415 tetranacci 29 triangular 406 666 3081 + 1984027528 tribonacci 13 927 19513 trimorphic 49 499 999 + 999999999 truncatable prime 13 23 29 + 29399999 twin 13 19 29 + 999311111 uban 13 19 23 + 1000000099 Ulam 13 26 69 + 10000239 undulating 515 545 818 + 1919191919 unprimeable 206 515 622 + 9986666 untouchable 206 406 818 + 982222 upside-down 19 46 555 + 1919191919 vampire 1827 180297 14300271 + 1976443902 wasteful 26 39 46 + 9999999 weak prime 13 19 23 + 99702439 weird 836 70630 90370 + 801010 Woodall 23 2499 Zuckerman 111 1111 3111 + 1911111111 Zumkeller 222 444 618 + 96888 zygodrome 111 222 333 + 1199999999