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10415056117 is a prime number
BaseRepresentation
bin10011011001100100…
…10010010011110101
3222212211202200002011
421230302102103311
5132312223243432
64441250444221
7516044342044
oct115462222365
928784680064
1010415056117
1144650338a4
122027b93671
13c9c9a0acb
1470b32655b
1540e547847
hex26cc924f5

10415056117 has 2 divisors, whose sum is σ = 10415056118. Its totient is φ = 10415056116.

The previous prime is 10415056033. The next prime is 10415056123. The reversal of 10415056117 is 71165051401.

10415056117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6007955121 + 4407100996 = 77511^2 + 66386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10415056117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10415056177) 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, 5207528058 + 5207528059.

It is an arithmetic number, because the mean of its divisors is an integer number (5207528059).

Almost surely, 210415056117 is an apocalyptic number.

It is an amenable number.

10415056117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10415056117 is an equidigital number, since it uses as much as digits as its factorization.

10415056117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 10415056117 in words is "ten billion, four hundred fifteen million, fifty-six thousand, one hundred seventeen".