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10585360339 is a prime number
BaseRepresentation
bin10011101101110111…
…11100011111010011
31000022201020000112221
421312323330133103
5133134323012324
64510213001511
7523213035601
oct116673743723
930281200487
1010585360339
114542183994
122075023297
13cc905b738
14725bb8871
1541e4880e4
hex276efc7d3

10585360339 has 2 divisors, whose sum is σ = 10585360340. Its totient is φ = 10585360338.

The previous prime is 10585360327. The next prime is 10585360417. The reversal of 10585360339 is 93306358501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10585360339 - 231 = 8437876691 is a prime.

It is a super-2 number, since 2×105853603392 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585360295 and 10585360304.

It is not a weakly prime, because it can be changed into another prime (10585360039) 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, 5292680169 + 5292680170.

It is an arithmetic number, because the mean of its divisors is an integer number (5292680170).

Almost surely, 210585360339 is an apocalyptic number.

10585360339 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585360339 is an equidigital number, since it uses as much as digits as its factorization.

10585360339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 10585360339 in words is "ten billion, five hundred eighty-five million, three hundred sixty thousand, three hundred thirty-nine".