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131380876225 = 52724932
BaseRepresentation
bin111101001011011101…
…0010001001111000001
3110120010011022000200201
41322112322101033001
54123032001014400
6140204444045201
712330512010364
oct1722672211701
9416104260621
10131380876225
115079a096955
1221567233801
13c509cb8961
146504a400db
15363e1cc06a
hex1e96e913c1

131380876225 has 9 divisors (see below), whose sum is σ = 162914533833. Its totient is φ = 105103251120.

The previous prime is 131380876201. The next prime is 131380876243. The reversal of 131380876225 is 522678083131.

The square root of 131380876225 is 362465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 527942529 + 130852933696 = 22977^2 + 361736^2 .

It is not a de Polignac number, because 131380876225 - 27 = 131380876097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1776079 + ... + 1848571.

Almost surely, 2131380876225 is an apocalyptic number.

131380876225 is the 362465-th square number.

131380876225 is the 181233-rd centered octagonal number.

It is an amenable number.

131380876225 is a deficient number, since it is larger than the sum of its proper divisors (31533657608).

131380876225 is an frugal number, since it uses more digits than its factorization.

131380876225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144996 (or 72498 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 131380876225 in words is "one hundred thirty-one billion, three hundred eighty million, eight hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 25 72493 362465 1812325 5255235049 26276175245 131380876225