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132030230331132 = 22327619846412739
BaseRepresentation
bin11110000001010010101110…
…111110100111111011111100
3122022110222002202120002000200
4132001102232332213323330
5114301140402431044012
61144445503411523500
736544604121610650
oct3601225676477374
9568428082502020
10132030230331132
1139083785001251
1212984414bb9590
135889521b28553
1424864238d2a60
15103e6214eb3dc
hex7814aefa7efc

132030230331132 has 72 divisors (see below), whose sum is σ = 382036854326400. Its totient is φ = 37661981190048.

The previous prime is 132030230331107. The next prime is 132030230331173. The reversal of 132030230331132 is 231133032030231.

132030230331132 is a `hidden beast` number, since 1 + 3 + 20 + 302 + 3 + 0 + 331 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132030230331096 and 132030230331105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423050382 + ... + 423362357.

It is an arithmetic number, because the mean of its divisors is an integer number (5306067421200).

Almost surely, 2132030230331132 is an apocalyptic number.

132030230331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132030230331132 is an abundant number, since it is smaller than the sum of its proper divisors (250006623995268).

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

132030230331132 is a wasteful number, since it uses less digits than its factorization.

132030230331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846413375 (or 846413370 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132030230331132 its reverse (231133032030231), we get a palindrome (363163262361363).

The spelling of 132030230331132 in words is "one hundred thirty-two trillion, thirty billion, two hundred thirty million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 619 1238 1857 2476 3714 4333 5571 7428 8666 11142 12999 17332 22284 25998 38997 51996 77994 155988 846412739 1692825478 2539238217 3385650956 5078476434 5924889173 7617714651 10156952868 11849778346 15235429302 17774667519 23699556692 30470858604 35549335038 53324002557 71098670076 106648005114 213296010228 523929485441 1047858970882 1571788456323 2095717941764 3143576912646 3667506398087 4715365368969 6287153825292 7335012796174 9430730737938 11002519194261 14670025592348 18861461475876 22005038388522 33007557582783 44010076777044 66015115165566 132030230331132