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131315516163325 = 52131106813650561
BaseRepresentation
bin11101110110111001000110…
…101100011100010011111101
3122012221122022002202111122201
4131312321012230130103331
5114202433134114211300
61143141303150511501
736442142622456004
oct3566710654342375
9565848262674581
10131315516163325
113892866353859a
12128899b0805591
13583700011c750
14245d9c232dc3b
15102ac4079066a
hex776e46b1c4fd

131315516163325 has 24 divisors (see below), whose sum is σ = 175358352425256. Its totient is φ = 96970555392000.

The previous prime is 131315516163211. The next prime is 131315516163331. The reversal of 131315516163325 is 523361615513131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15407618964516 + 115907897198809 = 3925254^2 + 10766053^2 .

It is not a de Polignac number, because 131315516163325 - 29 = 131315516162813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34146045 + ... + 37796605.

It is an arithmetic number, because the mean of its divisors is an integer number (7306598017719).

Almost surely, 2131315516163325 is an apocalyptic number.

It is an amenable number.

131315516163325 is a deficient number, since it is larger than the sum of its proper divisors (44042836261931).

131315516163325 is a wasteful number, since it uses less digits than its factorization.

131315516163325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761265 (or 3761260 counting only the distinct ones).

The product of its digits is 729000, while the sum is 46.

The spelling of 131315516163325 in words is "one hundred thirty-one trillion, three hundred fifteen billion, five hundred sixteen million, one hundred sixty-three thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 110681 553405 1438853 2767025 3650561 7194265 18252805 35971325 47457293 91264025 237286465 1186432325 404047742041 2020238710205 5252620646533 10101193551025 26263103232665 131315516163325