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131634225 = 3252585041
BaseRepresentation
bin1111101100010…
…01010000110001
3100011200201012200
413312021100301
5232144243400
621021213413
73155605152
oct766112061
9304621180
10131634225
1168338818
1238101269
132136b598
14136a7929
15b852b00
hex7d89431

131634225 has 18 divisors (see below), whose sum is σ = 235771926. Its totient is φ = 70204800.

The previous prime is 131634203. The next prime is 131634227. The reversal of 131634225 is 522436131.

131634225 is a `hidden beast` number, since 1 + 3 + 1 + 634 + 2 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 130165281 = 1212^2 + 11409^2 .

It is not a de Polignac number, because 131634225 - 25 = 131634193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131634227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 292296 + ... + 292745.

Almost surely, 2131634225 is an apocalyptic number.

131634225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131634225 is a deficient number, since it is larger than the sum of its proper divisors (104137701).

131634225 is a wasteful number, since it uses less digits than its factorization.

131634225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585057 (or 585049 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 131634225 is about 11473.1959366168. The cubic root of 131634225 is about 508.6935999069.

The spelling of 131634225 in words is "one hundred thirty-one million, six hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 585041 1755123 2925205 5265369 8775615 14626025 26326845 43878075 131634225