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133131403102212 = 223219573733926539
BaseRepresentation
bin11110010001010100010001…
…111111011000100000000100
3122110101020102101101210020100
4132101110101333120200010
5114422211103143232322
61151051420002004100
740020266163666114
oct3621242177304004
9573336371353210
10133131403102212
1139468790360539
1212b21911646630
1359393118833b8
1424c3846a3d044
15105d0bee09dac
hex791511fd8804

133131403102212 has 72 divisors (see below), whose sum is σ = 354300285466400. Its totient is φ = 42034166345088.

The previous prime is 133131403102151. The next prime is 133131403102213. The reversal of 133131403102212 is 212201304131331.

133131403102212 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 31 + 403 + 1 + 0 + 221 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (133131403102213) 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, 13039162 + ... + 20887377.

Almost surely, 2133131403102212 is an apocalyptic number.

133131403102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133131403102212 is an abundant number, since it is smaller than the sum of its proper divisors (221168882364188).

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

133131403102212 is a wasteful number, since it uses less digits than its factorization.

133131403102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33932305 (or 33932300 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133131403102212 its reverse (212201304131331), we get a palindrome (345332707233543).

The spelling of 133131403102212 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, four hundred three million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 5737 11474 17211 22948 34422 51633 68844 103266 109003 206532 218006 327009 436012 654018 981027 1308036 1962054 3924108 33926539 67853078 101779617 135706156 203559234 305338851 407118468 610677702 644604241 1221355404 1289208482 1933812723 2578416964 3867625446 5801438169 7735250892 11602876338 23205752676 194636554243 389273108486 583909662729 778546216972 1167819325458 1751728988187 2335638650916 3503457976374 3698094530617 7006915952748 7396189061234 11094283591851 14792378122468 22188567183702 33282850775553 44377134367404 66565701551106 133131403102212