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12031032024 = 233211137110881
BaseRepresentation
bin10110011010001101…
…01111101011011000
31011001110111202021200
423031012233223120
5144114421011044
65305454434200
7604066041054
oct131506575330
934043452250
1012031032024
115114227480
1223b9202960
13119970b47b
14821bb8c64
154a6350369
hex2cd1afad8

12031032024 has 96 divisors (see below), whose sum is σ = 35806015440. Its totient is φ = 3619123200.

The previous prime is 12031031939. The next prime is 12031032031. The reversal of 12031032024 is 42023013021.

12031032024 is a `hidden beast` number, since 12 + 0 + 310 + 320 + 24 = 666.

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 = 12031031988 and 12031032006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53064 + ... + 163944.

Almost surely, 212031032024 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 12031032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903007720).

12031032024 is an abundant number, since it is smaller than the sum of its proper divisors (23774983416).

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

12031032024 is a wasteful number, since it uses less digits than its factorization.

12031032024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111041 (or 111034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12031032024 its reverse (42023013021), we get a palindrome (54054045045).

The spelling of 12031032024 in words is "twelve billion, thirty-one million, thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 137 198 264 274 396 411 548 792 822 1096 1233 1507 1644 2466 3014 3288 4521 4932 6028 9042 9864 12056 13563 18084 27126 36168 54252 108504 110881 221762 332643 443524 665286 887048 997929 1219691 1330572 1995858 2439382 2661144 3659073 3991716 4878764 7318146 7983432 9757528 10977219 14636292 15190697 21954438 29272584 30381394 43908876 45572091 60762788 87817752 91144182 121525576 136716273 167097667 182288364 273432546 334195334 364576728 501293001 546865092 668390668 1002586002 1093730184 1336781336 1503879003 2005172004 3007758006 4010344008 6015516012 12031032024