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10517155157 is a prime number
BaseRepresentation
bin10011100101101111…
…10000110101010101
31000010221212211122002
421302313300311111
5133014342431112
64455335045045
7521424225635
oct116267606525
930127784562
1010517155157
114507729373
122056210785
13cb7b9ab42
1471ab026c5
154184b41c2
hex272df0d55

10517155157 has 2 divisors, whose sum is σ = 10517155158. Its totient is φ = 10517155156.

The previous prime is 10517155141. The next prime is 10517155183. The reversal of 10517155157 is 75155171501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8640446116 + 1876709041 = 92954^2 + 43321^2 .

It is a cyclic number.

It is not a de Polignac number, because 10517155157 - 24 = 10517155141 is a prime.

It is a super-2 number, since 2×105171551572 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10517155157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10517152157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258577578 + 5258577579.

It is an arithmetic number, because the mean of its divisors is an integer number (5258577579).

Almost surely, 210517155157 is an apocalyptic number.

It is an amenable number.

10517155157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517155157 is an equidigital number, since it uses as much as digits as its factorization.

10517155157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30625, while the sum is 38.

The spelling of 10517155157 in words is "ten billion, five hundred seventeen million, one hundred fifty-five thousand, one hundred fifty-seven".