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105515756713 is a prime number
BaseRepresentation
bin110001001000100111…
…0101010110010101001
3101002100120111211000101
41202101032222302221
53212044013203323
6120250120505401
710423531063603
oct1422116526251
9332316454011
10105515756713
1140826991824
121854901b261
139c4747c303
14516d81a173
152b285bcdad
hex18913aaca9

105515756713 has 2 divisors, whose sum is σ = 105515756714. Its totient is φ = 105515756712.

The previous prime is 105515756707. The next prime is 105515756729. The reversal of 105515756713 is 317657515501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60807614464 + 44708142249 = 246592^2 + 211443^2 .

It is a cyclic number.

It is not a de Polignac number, because 105515756713 - 213 = 105515748521 is a prime.

It is a super-2 number, since 2×1055157567132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105515753713) 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, 52757878356 + 52757878357.

It is an arithmetic number, because the mean of its divisors is an integer number (52757878357).

Almost surely, 2105515756713 is an apocalyptic number.

It is an amenable number.

105515756713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105515756713 is an equidigital number, since it uses as much as digits as its factorization.

105515756713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 551250, while the sum is 46.

The spelling of 105515756713 in words is "one hundred five billion, five hundred fifteen million, seven hundred fifty-six thousand, seven hundred thirteen".