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10012636813 is a prime number
BaseRepresentation
bin10010101001100110…
…01011011010001101
3221211210112122120111
421110303023122031
5131001213334223
64333313320021
7503060002654
oct112463133215
927753478514
1010012636813
114278966263
121b35266011
13c374c328a
146adad219b
153d905730d
hex254ccb68d

10012636813 has 2 divisors, whose sum is σ = 10012636814. Its totient is φ = 10012636812.

The previous prime is 10012636757. The next prime is 10012636867. The reversal of 10012636813 is 31863621001.

10012636813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7561693764 + 2450943049 = 86958^2 + 49507^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012636813 - 221 = 10010539661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012636883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006318406 + 5006318407.

It is an arithmetic number, because the mean of its divisors is an integer number (5006318407).

Almost surely, 210012636813 is an apocalyptic number.

It is an amenable number.

10012636813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012636813 is an equidigital number, since it uses as much as digits as its factorization.

10012636813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 10012636813 in words is "ten billion, twelve million, six hundred thirty-six thousand, eight hundred thirteen".