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10513086319 is a prime number
BaseRepresentation
bin10011100101010000…
…01111011101101111
31000010200020010020101
421302220033131233
5133012322230234
64455111531531
7521344521301
oct116250173557
930120203211
1010513086319
1145053aa39a
122054989ba7
13cb70a4b48
1471a363971
15417e5d814
hex272a0f76f

10513086319 has 2 divisors, whose sum is σ = 10513086320. Its totient is φ = 10513086318.

The previous prime is 10513086257. The next prime is 10513086347. The reversal of 10513086319 is 91368031501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10513086319 - 231 = 8365602671 is a prime.

It is a super-2 number, since 2×105130863192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10513086359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256543159 + 5256543160.

It is an arithmetic number, because the mean of its divisors is an integer number (5256543160).

Almost surely, 210513086319 is an apocalyptic number.

10513086319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513086319 is an equidigital number, since it uses as much as digits as its factorization.

10513086319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 37.

It can be divided in two parts, 10513086 and 319, that added together give a triangular number (10513405 = T4585).

The spelling of 10513086319 in words is "ten billion, five hundred thirteen million, eighty-six thousand, three hundred nineteen".