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130033802881512 = 23322378522827827
BaseRepresentation
bin11101100100001111011010…
…101000010010100111101000
3122001102002222022002120212100
4131210033122220102213220
5114020433212014202022
61140320412051013400
736250426566360435
oct3544173250224750
9561362868076770
10130033802881512
1138484031830442
121270150959a260
13577319a78311a
1424179536c8b8c
151007726eac1ac
hex7643daa129e8

130033802881512 has 48 divisors (see below), whose sum is σ = 367486834235040. Its totient is φ = 41460053092128.

The previous prime is 130033802881391. The next prime is 130033802881513. The reversal of 130033802881512 is 215188208330031.

130033802881512 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 38 + 0 + 28 + 81 + 512 = 666.

It is a super-2 number, since 2×1300338028815122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130033802881513) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39261412258 + ... + 39261415569.

It is an arithmetic number, because the mean of its divisors is an integer number (7655975713230).

Almost surely, 2130033802881512 is an apocalyptic number.

130033802881512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130033802881512 is an abundant number, since it is smaller than the sum of its proper divisors (237453031353528).

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

130033802881512 is a wasteful number, since it uses less digits than its factorization.

130033802881512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78522827862 (or 78522827855 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 130033802881512 in words is "one hundred thirty trillion, thirty-three billion, eight hundred two million, eight hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 78522827827 157045655654 235568483481 314091311308 471136966962 628182622616 706705450443 942273933924 1413410900886 1806025040021 1884547867848 2826821801772 3612050080042 5418075120063 5653643603544 7224100160084 10836150240126 14448200320168 16254225360189 21672300480252 32508450720378 43344600960504 65016901440756 130033802881512