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130032331331121 = 342173097387349
BaseRepresentation
bin11101100100001110000010…
…111010110001011000110001
3122001101222011202010002020000
4131210032002322301120301
5114020422203310043441
61140320010042340213
736250345250403162
oct3544160272613061
9561358152102200
10130032331331121
113848344711189a
12127011787ba669
135772cc494224b
1424178540ad769
15100768cbd22b6
hex764382eb1631

130032331331121 has 20 divisors (see below), whose sum is σ = 194246748448500. Its totient is φ = 86687810235936.

The previous prime is 130032331331117. The next prime is 130032331331171. The reversal of 130032331331121 is 121133133230031.

130032331331121 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 32 + 3 + 313 + 311 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49550547816225 + 80481783514896 = 7039215^2 + 8971164^2 .

It is not a de Polignac number, because 130032331331121 - 22 = 130032331331117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130032331331171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13908355 + ... + 21295703.

It is an arithmetic number, because the mean of its divisors is an integer number (9712337422425).

Almost surely, 2130032331331121 is an apocalyptic number.

It is an amenable number.

130032331331121 is a deficient number, since it is larger than the sum of its proper divisors (64214417117379).

130032331331121 is an equidigital number, since it uses as much as digits as its factorization.

130032331331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604670 (or 7604661 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130032331331121 its reverse (121133133230031), we get a palindrome (251165464561152).

The spelling of 130032331331121 in words is "one hundred thirty trillion, thirty-two billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 217309 651927 1955781 5867343 7387349 17602029 22162047 66486141 199458423 598375269 1605337423841 4816012271523 14448036814569 43344110443707 130032331331121