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112357057104 = 2432780257341
BaseRepresentation
bin110100010100100000…
…0001010001001010000
3101202000100121212212100
41220221000022021100
53320101401311404
6123341025400400
711055212141025
oct1505100121120
9352010555770
10112357057104
11437176a1a96
1219938199100
13a79792b656
14561c26554c
152dc8ed9d39
hex1a2900a250

112357057104 has 30 divisors (see below), whose sum is σ = 314443708826. Its totient is φ = 37452352320.

The previous prime is 112357057039. The next prime is 112357057117. The reversal of 112357057104 is 401750753211.

112357057104 is a `hidden beast` number, since 1 + 1 + 23 + 570 + 57 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93819690000 + 18537367104 = 306300^2 + 136152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390128527 + ... + 390128814.

Almost surely, 2112357057104 is an apocalyptic number.

It is an amenable number.

112357057104 is an abundant number, since it is smaller than the sum of its proper divisors (202086651722).

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

112357057104 is a wasteful number, since it uses less digits than its factorization.

112357057104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780257355 (or 780257346 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 112357057104 in words is "one hundred twelve billion, three hundred fifty-seven million, fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 780257341 1560514682 2340772023 3121029364 4681544046 6242058728 7022316069 9363088092 12484117456 14044632138 18726176184 28089264276 37452352368 56178528552 112357057104