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131464009 = 175322753
BaseRepresentation
bin1111101010111…
…11101101001001
3100011101001201101
413311133231021
5232123322014
621013421401
73154265665
oct765375511
9304331641
10131464009
1168231946
123803a861
132130bc71
14136618a5
15b81c474
hex7d5fb49

131464009 has 12 divisors (see below), whose sum is σ = 141924636. Its totient is φ = 121352192.

The previous prime is 131464007. The next prime is 131464013. The reversal of 131464009 is 900464131.

It can be written as a sum of positive squares in 6 ways, for example, as 46308025 + 85155984 = 6805^2 + 9228^2 .

It is not a de Polignac number, because 131464009 - 21 = 131464007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131464001) 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, 46377 + ... + 49129.

It is an arithmetic number, because the mean of its divisors is an integer number (11827053).

Almost surely, 2131464009 is an apocalyptic number.

It is an amenable number.

131464009 is a deficient number, since it is larger than the sum of its proper divisors (10460627).

131464009 is an equidigital number, since it uses as much as digits as its factorization.

131464009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131464009 is about 11465.7755516145. The cubic root of 131464009 is about 508.4742417098.

The spelling of 131464009 in words is "one hundred thirty-one million, four hundred sixty-four thousand, nine".

Divisors: 1 17 53 901 2753 2809 46801 47753 145909 2480453 7733177 131464009