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100110030111 = 337313899343
BaseRepresentation
bin101110100111100000…
…1011101010100011111
3100120101211200110012000
41131033001131110133
53120011131430421
6113553453213343
710142551134000
oct1351701352437
9316354613160
10100110030111
1139502558383
121749a791253
139595555710
144bb99031a7
15290dc21226
hex174f05d51f

100110030111 has 128 divisors (see below), whose sum is σ = 188375040000. Its totient is φ = 52206384384.

The previous prime is 100110030101. The next prime is 100110030121. The reversal of 100110030111 is 111030011001.

It is an interprime number because it is at equal distance from previous prime (100110030101) and next prime (100110030121).

It is not a de Polignac number, because 100110030111 - 27 = 100110029983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110030093 and 100110030102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110030101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10710306 + ... + 10719648.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680000).

Almost surely, 2100110030111 is an apocalyptic number.

100110030111 is a deficient number, since it is larger than the sum of its proper divisors (88265009889).

100110030111 is an equidigital number, since it uses as much as digits as its factorization.

100110030111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100110030111 its reverse (111030011001), we get a palindrome (211140041112).

The spelling of 100110030111 in words is "one hundred billion, one hundred ten million, thirty thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 49 63 89 91 117 147 189 267 273 343 351 441 623 637 801 819 1029 1157 1323 1869 1911 2403 2457 3087 3471 4361 4459 5607 5733 8099 9261 9343 10413 13083 13377 16821 17199 24297 28029 30527 31239 39249 40131 56693 65401 72891 84087 91581 117747 120393 121459 170079 196203 218673 252261 274743 364377 396851 457807 510237 588609 824229 831527 850213 1093131 1190553 1373421 1530711 1765827 2494581 2550639 3204649 3279393 3571659 4120263 5820689 5951491 7483743 7651917 9613947 10714977 10809851 12360789 17462067 17854473 22451229 22955751 28841841 32429553 40744823 41660437 52386201 53563419 75668957 86525523 97288659 122234469 124981311 157158603 160690257 227006871 285213761 291865977 366703407 374943933 529682699 681020613 855641283 1100110221 1124831799 1589048097 2043061839 2566923849 3707778893 4767144291 7700771547 11123336679 14301432873 33370010037 100110030111