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132131002232020 = 225112372872531093
BaseRepresentation
bin11110000010110000100101…
…011100111010110011010100
3122022211121012201200001020011
4132002300211130322303110
5114304313243032411040
61145004051111250004
736555102260622241
oct3602604534726324
9568747181601204
10132131002232020
1139112497125970
121299ba59379904
135895b9153017c
14248b2632865c8
15104206d3ac3ea
hex782c2573acd4

132131002232020 has 48 divisors (see below), whose sum is σ = 302701509468288. Its totient is φ = 48047415704960.

The previous prime is 132131002231997. The next prime is 132131002232077. The reversal of 132131002232020 is 20232200131231.

132131002232020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132131002231982 and 132131002232000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50937594 + ... + 53468686.

It is an arithmetic number, because the mean of its divisors is an integer number (6306281447256).

Almost surely, 2132131002232020 is an apocalyptic number.

132131002232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131002232020 is an abundant number, since it is smaller than the sum of its proper divisors (170570507236268).

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

132131002232020 is a wasteful number, since it uses less digits than its factorization.

132131002232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768400 (or 2768398 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132131002232020 its reverse (20232200131231), we get a palindrome (152363202363251).

The spelling of 132131002232020 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 237287 474574 949148 1186435 2372870 2531093 2610157 4745740 5062186 5220314 10124372 10440628 12655465 13050785 25310930 26101570 27842023 50621860 52203140 55684046 111368092 139210115 278420230 556840460 600595464691 1201190929382 2402381858764 3002977323455 6005954646910 6606550111601 12011909293820 13213100223202 26426200446404 33032750558005 66065501116010 132131002232020