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10117471201 is a prime number
BaseRepresentation
bin10010110110000110…
…00101101111100001
3222010002210210022121
421123003011233201
5131210033034301
64351540304241
7505502041405
oct113303055741
928102723277
1010117471201
114322059952
121b643a2081
13c5313a366
146bd9c1105
153e33643a1
hex25b0c5be1

10117471201 has 2 divisors, whose sum is σ = 10117471202. Its totient is φ = 10117471200.

The previous prime is 10117471153. The next prime is 10117471207. The reversal of 10117471201 is 10217471101.

10117471201 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., 8897016976 + 1220454225 = 94324^2 + 34935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117471201 - 27 = 10117471073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10117471207) 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, 5058735600 + 5058735601.

It is an arithmetic number, because the mean of its divisors is an integer number (5058735601).

Almost surely, 210117471201 is an apocalyptic number.

It is an amenable number.

10117471201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117471201 is an equidigital number, since it uses as much as digits as its factorization.

10117471201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

The spelling of 10117471201 in words is "ten billion, one hundred seventeen million, four hundred seventy-one thousand, two hundred one".