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100656110006112 = 25343131918486541
BaseRepresentation
bin10110111000101111010011…
…101011100110111101100000
3111012101122000101001020002110
4112320233103223212331200
5101143122203130143422
6554024440101115320
730126110145160023
oct2670572353467540
9435348011036073
10100656110006112
112a08801aaa9851
12b3579b36b8b40
134421aa4646cab
141abdad306d1ba
15b9846a5e960c
hex5b8bd3ae6f60

100656110006112 has 96 divisors (see below), whose sum is σ = 270571986558720. Its totient is φ = 32746909063680.

The previous prime is 100656110006107. The next prime is 100656110006129. The reversal of 100656110006112 is 211600011656001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 100656110006112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3798439 + ... + 14688102.

It is an arithmetic number, because the mean of its divisors is an integer number (2818458193320).

Almost surely, 2100656110006112 is an apocalyptic number.

100656110006112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100656110006112 is an abundant number, since it is smaller than the sum of its proper divisors (169915876552608).

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

100656110006112 is a wasteful number, since it uses less digits than its factorization.

100656110006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18487916 (or 18487908 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 100656110006112 in words is "one hundred trillion, six hundred fifty-six billion, one hundred ten million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1319 1376 2064 2638 3957 4128 5276 7914 10552 15828 21104 31656 42208 56717 63312 113434 126624 170151 226868 340302 453736 680604 907472 1361208 1814944 2722416 5444832 18486541 36973082 55459623 73946164 110919246 147892328 221838492 295784656 443676984 591569312 794921263 887353968 1589842526 1774707936 2384763789 3179685052 4769527578 6359370104 9539055156 12718740208 19078110312 24383747579 25437480416 38156220624 48767495158 73151242737 76312441248 97534990316 146302485474 195069980632 292604970948 390139961264 585209941896 780279922528 1048501145897 1170419883792 2097002291794 2340839767584 3145503437691 4194004583588 6291006875382 8388009167176 12582013750764 16776018334352 25164027501528 33552036668704 50328055003056 100656110006112