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10138108177 is a prime number
BaseRepresentation
bin10010111000100011…
…10100000100010001
3222011112122020221001
421130101310010101
5131230323430202
64353554502001
7506142332461
oct113421640421
928145566831
1010138108177
1143327747aa
121b6b294901
13c574b46a2
146c2633ba1
153e508dd87
hex25c474111

10138108177 has 2 divisors, whose sum is σ = 10138108178. Its totient is φ = 10138108176.

The previous prime is 10138108091. The next prime is 10138108181. The reversal of 10138108177 is 77180183101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6397440256 + 3740667921 = 79984^2 + 61161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10138108177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10138108187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5069054088 + 5069054089.

It is an arithmetic number, because the mean of its divisors is an integer number (5069054089).

Almost surely, 210138108177 is an apocalyptic number.

It is an amenable number.

10138108177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10138108177 is an equidigital number, since it uses as much as digits as its factorization.

10138108177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 37.

The spelling of 10138108177 in words is "ten billion, one hundred thirty-eight million, one hundred eight thousand, one hundred seventy-seven".