Search a number
-
+
131595331 = 721393
BaseRepresentation
bin1111101011111…
…11110001000011
3100011121201212011
413311333301003
5232142022311
621020313351
73155353600
oct765776103
9304551764
10131595331
116831157a
12380a2857
132135697a
14136976a7
15b846321
hex7d7fc43

131595331 has 12 divisors (see below), whose sum is σ = 154189560. Its totient is φ = 111984516.

The previous prime is 131595323. The next prime is 131595337. The reversal of 131595331 is 133595131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 131595331 - 23 = 131595323 is a prime.

It is a super-2 number, since 2×1315953312 = 34634662281999122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131595293 and 131595302.

It is not an unprimeable number, because it can be changed into a prime (131595337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946660 + ... + 946798.

It is an arithmetic number, because the mean of its divisors is an integer number (12849130).

Almost surely, 2131595331 is an apocalyptic number.

131595331 is a deficient number, since it is larger than the sum of its proper divisors (22594229).

131595331 is an frugal number, since it uses more digits than its factorization.

131595331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 146 counting only the distinct ones).

The product of its digits is 6075, while the sum is 31.

The square root of 131595331 is about 11471.5008172427. The cubic root of 131595331 is about 508.6434936932.

The spelling of 131595331 in words is "one hundred thirty-one million, five hundred ninety-five thousand, three hundred thirty-one".

Divisors: 1 7 49 139 973 6811 19321 135247 946729 2685619 18799333 131595331