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131205425 = 52132913921
BaseRepresentation
bin1111101001000…
…00100100110001
3100010212221000012
413310200210301
5232042033200
621004104305
73152141051
oct764404461
9303787005
10131205425
116807563a
1237b35095
132124b360
14135d5561
15b7baa35
hex7d20931

131205425 has 24 divisors (see below), whose sum is σ = 181264440. Its totient is φ = 93542400.

The previous prime is 131205419. The next prime is 131205443. The reversal of 131205425 is 524502131.

It can be written as a sum of positive squares in 12 ways, for example, as 50708641 + 80496784 = 7121^2 + 8972^2 .

It is a de Polignac number, because none of the positive numbers 2k-131205425 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131205425.

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, 2465 + ... + 16385.

It is an arithmetic number, because the mean of its divisors is an integer number (7552685).

Almost surely, 2131205425 is an apocalyptic number.

It is an amenable number.

131205425 is a deficient number, since it is larger than the sum of its proper divisors (50059015).

131205425 is a wasteful number, since it uses less digits than its factorization.

131205425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13973 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 131205425 is about 11454.4936596953. The cubic root of 131205425 is about 508.1406406328.

Adding to 131205425 its reverse (524502131), we get a palindrome (655707556).

The spelling of 131205425 in words is "one hundred thirty-one million, two hundred five thousand, four hundred twenty-five".

Divisors: 1 5 13 25 29 65 145 325 377 725 1885 9425 13921 69605 180973 348025 403709 904865 2018545 4524325 5248217 10092725 26241085 131205425