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130125645 = 32513222437
BaseRepresentation
bin1111100000110…
…00111101001101
3100001212001211100
413300120331031
5231303010040
620525013313
73140023026
oct760307515
9301761740
10130125645
11674a8361
12376b4239
1320c60a30
14133d3c4d
15b655b30
hex7c18f4d

130125645 has 24 divisors (see below), whose sum is σ = 242902296. Its totient is φ = 64061568.

The previous prime is 130125613. The next prime is 130125683. The reversal of 130125645 is 546521031.

130125645 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 5 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1121481 + 129004164 = 1059^2 + 11358^2 .

It is not a de Polignac number, because 130125645 - 25 = 130125613 is a prime.

It is a super-3 number, since 3×1301256453 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 110634 + ... + 111803.

It is an arithmetic number, because the mean of its divisors is an integer number (10120929).

Almost surely, 2130125645 is an apocalyptic number.

130125645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130125645 is a deficient number, since it is larger than the sum of its proper divisors (112776651).

130125645 is a wasteful number, since it uses less digits than its factorization.

130125645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222461 (or 222458 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130125645 is about 11407.2628180471. The cubic root of 130125645 is about 506.7428524537.

Adding to 130125645 its reverse (546521031), we get a palindrome (676646676).

The spelling of 130125645 in words is "one hundred thirty million, one hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 222437 667311 1112185 2001933 2891681 3336555 8675043 10009665 14458405 26025129 43375215 130125645