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12540636131 is a prime number
BaseRepresentation
bin10111010110111101…
…01110101111100011
31012100222102022200212
423223132232233203
5201140400324011
65432221204335
7622524435242
oct135336565743
935328368625
1012540636131
1153559535a1
12251ba006ab
13124b176b6a
1486d750959
154d5e6408b
hex2eb7aebe3

12540636131 has 2 divisors, whose sum is σ = 12540636132. Its totient is φ = 12540636130.

The previous prime is 12540636113. The next prime is 12540636167. The reversal of 12540636131 is 13163604521.

Together with previous prime (12540636113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (13163604521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12540636131 - 214 = 12540619747 is a prime.

It is a super-2 number, since 2×125406361312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (12540636331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6270318065 + 6270318066.

It is an arithmetic number, because the mean of its divisors is an integer number (6270318066).

Almost surely, 212540636131 is an apocalyptic number.

12540636131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12540636131 is an equidigital number, since it uses as much as digits as its factorization.

12540636131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 12540636131 in words is "twelve billion, five hundred forty million, six hundred thirty-six thousand, one hundred thirty-one".