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10508628131 is a prime number
BaseRepresentation
bin10011100100101110…
…01111000010100011
31000010100211121202022
421302113033002203
5133010202100011
64454432212055
7521261602541
oct116227170243
930110747668
1010508628131
114502934941
12205339a02b
13cb61a3871
14719922d91
1541787c8db
hex2725cf0a3

10508628131 has 2 divisors, whose sum is σ = 10508628132. Its totient is φ = 10508628130.

The previous prime is 10508628121. The next prime is 10508628161. The reversal of 10508628131 is 13182680501.

10508628131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10508628131 is a prime.

It is a super-2 number, since 2×105086281312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10508628091 and 10508628100.

It is not a weakly prime, because it can be changed into another prime (10508628101) 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, 5254314065 + 5254314066.

It is an arithmetic number, because the mean of its divisors is an integer number (5254314066).

Almost surely, 210508628131 is an apocalyptic number.

10508628131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10508628131 is an equidigital number, since it uses as much as digits as its factorization.

10508628131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 10508628131 in words is "ten billion, five hundred eight million, six hundred twenty-eight thousand, one hundred thirty-one".