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132122322133002 = 232163239188416177
BaseRepresentation
bin11110000010101000100000…
…000100111110000000001010
3122022210202210210112022212100
4132002220200010332000022
5114304143003431224002
61145000053514454230
736554344211165145
oct3602504004760012
9568722723468770
10132122322133002
1139109842471013
121299a236434376
13589510a127cc6
14248aa7c54505c
151041c1132111c
hex782a2013e00a

132122322133002 has 48 divisors (see below), whose sum is σ = 289226369877120. Its totient is φ = 43587444491136.

The previous prime is 132122322132971. The next prime is 132122322133019. The reversal of 132122322133002 is 200331223221231.

132122322133002 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 2 + 322 + 1 + 330 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93506863 + ... + 94909314.

It is an arithmetic number, because the mean of its divisors is an integer number (6025549372440).

Almost surely, 2132122322133002 is an apocalyptic number.

132122322133002 is an abundant number, since it is smaller than the sum of its proper divisors (157104047744118).

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

132122322133002 is a wasteful number, since it uses less digits than its factorization.

132122322133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188416587 (or 188416584 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132122322133002 its reverse (200331223221231), we get a palindrome (332453545354233).

The spelling of 132122322133002 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty-two million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 163 239 326 478 489 717 978 1434 1467 2151 2934 4302 38957 77914 116871 233742 350613 701226 188416177 376832354 565248531 1130497062 1695745593 3391491186 30711836851 45031466303 61423673702 90062932606 92135510553 135094398909 184271021106 270188797818 276406531659 405283196727 552813063318 810566393454 7340129007389 14680258014778 22020387022167 44040774044334 66061161066501 132122322133002