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12031013110032 = 2432711935528879
BaseRepresentation
bin1010111100010011000001…
…0000110100000100010000
31120121011010222201022212100
42233010300100310010100
53034104003324010112
641330545432400400
72351132502053640
oct257046020640420
946534128638770
1012031013110032
113919362286454
121423835b46100
1369369a932177
142d84387c8520
1515ce4a96a2dc
hexaf130434110

12031013110032 has 60 divisors (see below), whose sum is σ = 38480145109120. Its totient is φ = 3437432316864.

The previous prime is 12031013110031. The next prime is 12031013110033. The reversal of 12031013110032 is 23001131013021.

12031013110032 is a `hidden beast` number, since 12 + 0 + 310 + 1 + 311 + 0 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12031013110031) and next prime (12031013110033).

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

It is a junction number, because it is equal to n+sod(n) for n = 12031013109987 and 12031013110014.

It is not an unprimeable number, because it can be changed into a prime (12031013110031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5967763432 + ... + 5967765447.

Almost surely, 212031013110032 is an apocalyptic number.

12031013110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031013110032 is an abundant number, since it is smaller than the sum of its proper divisors (26449131999088).

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

12031013110032 is a wasteful number, since it uses less digits than its factorization.

12031013110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935528900 (or 11935528891 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12031013110032 its reverse (23001131013021), we get a palindrome (35032144123053).

The spelling of 12031013110032 in words is "twelve trillion, thirty-one billion, thirteen million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 11935528879 23871057758 35806586637 47742115516 71613173274 83548702153 95484231032 107419759911 143226346548 167097404306 190968462064 214839519822 250646106459 286452693096 334194808612 429679039644 501292212918 572905386192 668389617224 751938319377 859358079288 1002584425836 1336779234448 1503876638754 1718716158576 2005168851672 3007753277508 4010337703344 6015506555016 12031013110032