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131424517 = 724575869
BaseRepresentation
bin1111101010101…
…10000100000101
3100011022001112201
413311112010011
5232121041032
621012514501
73154042600
oct765260405
9304261481
10131424517
1168205204
123801ba31
13212c6cb3
1413651337
15b8108e7
hex7d56105

131424517 has 12 divisors (see below), whose sum is σ = 153242220. Its totient is φ = 112383936.

The previous prime is 131424509. The next prime is 131424521. The reversal of 131424517 is 715424131.

It can be written as a sum of positive squares in 2 ways, for example, as 61685316 + 69739201 = 7854^2 + 8351^2 .

It is not a de Polignac number, because 131424517 - 23 = 131424509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131424547) 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 11 ways as a sum of consecutive naturals, for example, 19459 + ... + 25327.

It is an arithmetic number, because the mean of its divisors is an integer number (12770185).

Almost surely, 2131424517 is an apocalyptic number.

It is an amenable number.

131424517 is a deficient number, since it is larger than the sum of its proper divisors (21817703).

131424517 is an equidigital number, since it uses as much as digits as its factorization.

131424517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6333 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 131424517 is about 11464.0532535400. The cubic root of 131424517 is about 508.4233211169.

Adding to 131424517 its reverse (715424131), we get a palindrome (846848648).

The spelling of 131424517 in words is "one hundred thirty-one million, four hundred twenty-four thousand, five hundred seventeen".

Divisors: 1 7 49 457 3199 5869 22393 41083 287581 2682133 18774931 131424517