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112119685092 = 2232101149206953
BaseRepresentation
bin110100001101011011…
…0101001111111100100
3101201101210222010200100
41220122312221333210
53314110114410332
6123301305544100
711046300412242
oct1503266517744
9351353863610
10112119685092
1143605703978
12198907a5030
13a75a6baa3c
1455d8915792
152db324c67c
hex1a1ada9fe4

112119685092 has 72 divisors (see below), whose sum is σ = 288142054200. Its totient is φ = 36754675200.

The previous prime is 112119685079. The next prime is 112119685133. The reversal of 112119685092 is 290586911211.

112119685092 is a `hidden beast` number, since 1 + 121 + 19 + 6 + 8 + 509 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2866959936 + 109252725156 = 53544^2 + 330534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438288 + ... + 645240.

It is an arithmetic number, because the mean of its divisors is an integer number (4001972975).

Almost surely, 2112119685092 is an apocalyptic number.

112119685092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112119685092 is an abundant number, since it is smaller than the sum of its proper divisors (176022369108).

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

112119685092 is a wasteful number, since it uses less digits than its factorization.

112119685092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207213 (or 207208 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 112119685092 in words is "one hundred twelve billion, one hundred nineteen million, six hundred eighty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 149 202 298 303 404 447 596 606 894 909 1212 1341 1788 1818 2682 3636 5364 15049 30098 45147 60196 90294 135441 180588 206953 270882 413906 541764 620859 827812 1241718 1862577 2483436 3725154 7450308 20902253 30835997 41804506 61671994 62706759 83609012 92507991 123343988 125413518 185015982 188120277 250827036 277523973 370031964 376240554 555047946 752481108 1110095892 3114435697 6228871394 9343307091 12457742788 18686614182 28029921273 37373228364 56059842546 112119685092