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112826137017 = 31131499221021
BaseRepresentation
bin110100100010011110…
…1100011100110111001
3101210020001021121112110
41221010331203212321
53322031442341032
6123455343402533
711102636224656
oct1510475434671
9353201247473
10112826137017
114393845a740
1219a492b3449
13a840b78a29
14566468cc2d
152e052967cc
hex1a44f639b9

112826137017 has 32 divisors (see below), whose sum is σ = 169744896000. Its totient is φ = 66040776000.

The previous prime is 112826137007. The next prime is 112826137139. The reversal of 112826137017 is 710731628211.

It is a happy number.

It is not a de Polignac number, because 112826137017 - 222 = 112821942713 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (112826137007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399967 + ... + 620987.

It is an arithmetic number, because the mean of its divisors is an integer number (5304528000).

Almost surely, 2112826137017 is an apocalyptic number.

It is an amenable number.

112826137017 is a deficient number, since it is larger than the sum of its proper divisors (56918758983).

112826137017 is a wasteful number, since it uses less digits than its factorization.

112826137017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221565.

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 112826137017 in words is "one hundred twelve billion, eight hundred twenty-six million, one hundred thirty-seven thousand, seventeen".

Divisors: 1 3 11 31 33 93 341 499 1023 1497 5489 15469 16467 46407 170159 221021 510477 663063 2431231 6851651 7293693 20554953 75368161 110289479 226104483 330868437 1213184269 3418973849 3639552807 10256921547 37608712339 112826137017