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13031031111012 = 22322337342192923
BaseRepresentation
bin1011110110100000010111…
…1110101111110101100100
31201010202100222000022001100
42331220011332233311210
53202000022431023022
643414212325000100
72513314045604655
oct275500576576544
951122328008040
1013031031111012
11417447a386792
121565601b53030
13736a89861275
143309c339952c
15178e78a8a1ac
hexbda05fafd64

13031031111012 has 72 divisors (see below), whose sum is σ = 34463855409984. Its totient is φ = 4143682483776.

The previous prime is 13031031110953. The next prime is 13031031111017. The reversal of 13031031111012 is 21011113013031.

13031031111012 is a `hidden beast` number, since 1 + 30 + 310 + 311 + 1 + 1 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13031031111017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20787618 + ... + 21405305.

It is an arithmetic number, because the mean of its divisors is an integer number (478664658472).

Almost surely, 213031031111012 is an apocalyptic number.

13031031111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13031031111012 is an abundant number, since it is smaller than the sum of its proper divisors (21432824298972).

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

13031031111012 is a wasteful number, since it uses less digits than its factorization.

13031031111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42193329 (or 42193324 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13031031111012 its reverse (21011113013031), we get a palindrome (34042144124043).

The spelling of 13031031111012 in words is "thirteen trillion, thirty-one billion, thirty-one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 373 414 746 828 1119 1492 2238 3357 4476 6714 8579 13428 17158 25737 34316 51474 77211 102948 154422 308844 42192923 84385846 126578769 168771692 253157538 379736307 506315076 759472614 970437229 1518945228 1940874458 2911311687 3881748916 5822623374 8733935061 11645246748 15737960279 17467870122 31475920558 34935740244 47213880837 62951841116 94427761674 141641642511 188855523348 283283285022 361973086417 566566570044 723946172834 1085919259251 1447892345668 2171838518502 3257757777753 4343677037004 6515515555506 13031031111012