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13231122112 = 2613194331933
BaseRepresentation
bin11000101001010001…
…01110011011000000
31021011002200122101201
430110220232123000
5204044131401422
610024524510544
7645610453015
oct142450563300
937132618351
1013231122112
11567a69496a
1226930ab454
13132b234950
148d732d70c
155268a7727
hex314a2e6c0

13231122112 has 112 divisors (see below), whose sum is σ = 29847499360. Its totient is φ = 5768921088.

The previous prime is 13231122103. The next prime is 13231122127. The reversal of 13231122112 is 21122113231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 13231122112.

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, 6843898 + ... + 6845830.

It is an arithmetic number, because the mean of its divisors is an integer number (266495530).

Almost surely, 213231122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923749680).

13231122112 is an abundant number, since it is smaller than the sum of its proper divisors (16616377248).

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

13231122112 is a wasteful number, since it uses less digits than its factorization.

13231122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2400 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

Adding to 13231122112 its reverse (21122113231), we get a palindrome (34353235343).

The spelling of 13231122112 in words is "thirteen billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 433 494 608 832 866 988 1216 1732 1933 1976 3464 3866 3952 5629 6928 7732 7904 8227 11258 13856 15464 15808 16454 22516 25129 27712 30928 32908 36727 45032 50258 61856 65816 73454 90064 100516 106951 123712 131632 146908 180128 201032 213902 263264 293816 360256 402064 427804 477451 526528 587632 804128 836989 855608 954902 1175264 1608256 1673978 1711216 1909804 2350528 3347956 3422432 3819608 6695912 6844864 7639216 10880857 13391824 15278432 15902791 21761714 26783648 30556864 31805582 43523428 53567296 63611164 87046856 127222328 174093712 206736283 254444656 348187424 413472566 508889312 696374848 826945132 1017778624 1653890264 3307780528 6615561056 13231122112