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131140521 = 32891011621
BaseRepresentation
bin1111101000100…
…00101110101001
3100010202121222100
413310100232221
5232032444041
621002444013
73151450611
oct764205651
9303677870
10131140521
11680308a6
1237b03609
1321227955
14135b9a41
15b7a66b6
hex7d10ba9

131140521 has 24 divisors (see below), whose sum is σ = 193569480. Its totient is φ = 85536000.

The previous prime is 131140501. The next prime is 131140531. The reversal of 131140521 is 125041131.

131140521 is a `hidden beast` number, since 1 + 3 + 1 + 140 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49491225 + 81649296 = 7035^2 + 9036^2 .

It is not a de Polignac number, because 131140521 - 27 = 131140393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131140494 and 131140503.

It is not an unprimeable number, because it can be changed into a prime (131140501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80091 + ... + 81711.

It is an arithmetic number, because the mean of its divisors is an integer number (8065395).

Almost surely, 2131140521 is an apocalyptic number.

It is an amenable number.

131140521 is a deficient number, since it is larger than the sum of its proper divisors (62428959).

131140521 is a wasteful number, since it uses less digits than its factorization.

131140521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131140521 is about 11451.6601853181. The cubic root of 131140521 is about 508.0568387123.

Adding to 131140521 its reverse (125041131), we get a palindrome (256181652).

The spelling of 131140521 in words is "one hundred thirty-one million, one hundred forty thousand, five hundred twenty-one".

Divisors: 1 3 9 89 101 267 303 801 909 1621 4863 8989 14589 26967 80901 144269 163721 432807 491163 1298421 1473489 14571169 43713507 131140521