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131007213 = 341617373
BaseRepresentation
bin1111100111100…
…00001011101101
3100010111212010000
413303300023231
5232014212323
620555534513
73150354141
oct763601355
9303455100
10131007213
1167a4a727
1237a5a439
13211ac07c
1413583221
15b77be43
hex7cf02ed

131007213 has 10 divisors (see below), whose sum is σ = 195702254. Its totient is φ = 87338088.

The previous prime is 131007211. The next prime is 131007229. The reversal of 131007213 is 312700131.

It can be written as a sum of positive squares in only one way, i.e., 78907689 + 52099524 = 8883^2 + 7218^2 .

It is not a de Polignac number, because 131007213 - 21 = 131007211 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 (131007211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 808606 + ... + 808767.

Almost surely, 2131007213 is an apocalyptic number.

It is an amenable number.

131007213 is a deficient number, since it is larger than the sum of its proper divisors (64695041).

131007213 is an equidigital number, since it uses as much as digits as its factorization.

131007213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617385 (or 1617376 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131007213 is about 11445.8382392903. The cubic root of 131007213 is about 507.8846290279.

Adding to 131007213 its reverse (312700131), we get a palindrome (443707344).

The spelling of 131007213 in words is "one hundred thirty-one million, seven thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 1617373 4852119 14556357 43669071 131007213