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32013231012 = 223271737919717
BaseRepresentation
bin11101110100001000…
…110010001110100100
310001122001112122010200
4131310020302032210
51011030341343022
622412350350500
72212213655010
oct356410621644
9101561478120
1032013231012
11126386a8314
1262551bb430
1330324c2859
141799989540
15c75751bac
hex7742323a4

32013231012 has 144 divisors (see below), whose sum is σ = 98186175360. Its totient is φ = 8585450496.

The previous prime is 32013231011. The next prime is 32013231017. The reversal of 32013231012 is 21013231023.

32013231012 is a `hidden beast` number, since 320 + 1 + 32 + 310 + 1 + 2 = 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 (32013231011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613778 + ... + 1633494.

It is an arithmetic number, because the mean of its divisors is an integer number (681848440).

Almost surely, 232013231012 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 32013231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49093087680).

32013231012 is an abundant number, since it is smaller than the sum of its proper divisors (66172944348).

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

32013231012 is a wasteful number, since it uses less digits than its factorization.

32013231012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20130 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32013231012 its reverse (21013231023), we get a palindrome (53026462035).

The spelling of 32013231012 in words is "thirty-two billion, thirteen million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 379 476 612 714 758 1071 1137 1428 1516 2142 2274 2653 3411 4284 4548 5306 6443 6822 7959 10612 12886 13644 15918 19329 19717 23877 25772 31836 38658 39434 45101 47754 57987 59151 77316 78868 90202 95508 115974 118302 135303 138019 177453 180404 231948 236604 270606 276038 335189 354906 405909 414057 541212 552076 670378 709812 811818 828114 1005567 1242171 1340756 1623636 1656228 2011134 2346323 2484342 3016701 4022268 4692646 4968684 6033402 7038969 7472743 9385292 12066804 14077938 14945486 21116907 22418229 28155876 29890972 42233814 44836458 52309201 67254687 84467628 89672916 104618402 127036631 134509374 156927603 209236804 254073262 269018748 313855206 381109893 470782809 508146524 627710412 762219786 889256417 941565618 1143329679 1524439572 1778512834 1883131236 2286659358 2667769251 3557025668 4573318716 5335538502 8003307753 10671077004 16006615506 32013231012