Search a number
-
+
110123033003130 = 23574229493125147
BaseRepresentation
bin11001000010100000000100…
…010000111000010001111010
3112102220122210111211220201210
4121002200010100320101322
5103413223432422100010
61030113453432023550
732124061263011640
oct3102400420702172
9472818714756653
10110123033003130
11320a7a09257474
12104266b8b31bb6
13495a732956c24
141d29daa001190
15cae845acab20
hex64280443847a

110123033003130 has 128 divisors (see below), whose sum is σ = 302196458465280. Its totient is φ = 25158923032320.

The previous prime is 110123033003119. The next prime is 110123033003173. The reversal of 110123033003130 is 31300330321011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110123033003097 and 110123033003106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4379159217 + ... + 4379184363.

It is an arithmetic number, because the mean of its divisors is an integer number (2360909831760).

Almost surely, 2110123033003130 is an apocalyptic number.

110123033003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110123033003130 is an abundant number, since it is smaller than the sum of its proper divisors (192073425462150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110123033003130 is a wasteful number, since it uses less digits than its factorization.

110123033003130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34324.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 110123033003130 its reverse (31300330321011), we get a palindrome (141423363324141).

The spelling of 110123033003130 in words is "one hundred ten trillion, one hundred twenty-three billion, thirty-three million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 4229 4931 8458 9862 12687 14793 21145 24655 25147 25374 29586 29603 34517 42290 49310 50294 59206 63435 69034 73965 75441 88809 103551 125735 126870 147930 148015 150882 172585 176029 177618 207102 251470 296030 345170 352058 377205 444045 517755 528087 754410 880145 888090 1035510 1056174 1760290 2640435 5280870 20853199 41706398 62559597 104265995 106346663 123999857 125119194 145972393 208531990 212693326 247999714 291944786 312797985 319039989 371999571 437917179 531733315 619999285 625595970 638079978 729861965 743999142 744426641 867998999 875834358 1063466630 1239998570 1459723930 1488853282 1595199945 1735997998 1859997855 2189585895 2233279923 2603996997 3190399890 3719995710 3722133205 4339994995 4379171790 4466559846 5207993994 7444266410 8679989990 11166399615 13019984985 22332799230 26039969970 524395395253 1048790790506 1573186185759 2621976976265 3146372371518 3670767766771 5243953952530 7341535533542 7865930928795 11012303300313 15731861857590 18353838833855 22024606600626 36707677667710 55061516501565 110123033003130