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115155665017 is a prime number
BaseRepresentation
bin110101100111111010…
…0000000000001111001
3102000020101200220012021
41223033310000001321
53341314322240032
6124522441314441
711214444000541
oct1531764000171
9360211626167
10115155665017
1144923409598
121a399495a21
13ab2268c073
145805c06321
152edea4c097
hex1acfd00079

115155665017 has 2 divisors, whose sum is σ = 115155665018. Its totient is φ = 115155665016.

The previous prime is 115155665011. The next prime is 115155665021. The reversal of 115155665017 is 710566551511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106190605161 + 8965059856 = 325869^2 + 94684^2 .

It is a cyclic number.

It is not a de Polignac number, because 115155665017 - 231 = 113008181369 is a prime.

It is a super-2 number, since 2×1151556650172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (115155665011) 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, 57577832508 + 57577832509.

It is an arithmetic number, because the mean of its divisors is an integer number (57577832509).

Almost surely, 2115155665017 is an apocalyptic number.

It is an amenable number.

115155665017 is a deficient number, since it is larger than the sum of its proper divisors (1).

115155665017 is an equidigital number, since it uses as much as digits as its factorization.

115155665017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157500, while the sum is 43.

The spelling of 115155665017 in words is "one hundred fifteen billion, one hundred fifty-five million, six hundred sixty-five thousand, seventeen".