Search a number
-
+
10165124731 is a prime number
BaseRepresentation
bin10010111011110001…
…10111111001111011
3222020102110211200011
421131320313321323
5131304232442411
64400401522351
7506621064106
oct113570677173
928212424604
1010165124731
114346a47733
121b783433b7
13c5cc83708
146c606773d
153e7628c21
hex25de37e7b

10165124731 has 2 divisors, whose sum is σ = 10165124732. Its totient is φ = 10165124730.

The previous prime is 10165124633. The next prime is 10165124743. The reversal of 10165124731 is 13742156101.

10165124731 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10165124731 - 213 = 10165116539 is a prime.

It is a super-2 number, since 2×101651247312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10165124693 and 10165124702.

It is not a weakly prime, because it can be changed into another prime (10165124791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082562365 + 5082562366.

It is an arithmetic number, because the mean of its divisors is an integer number (5082562366).

Almost surely, 210165124731 is an apocalyptic number.

10165124731 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165124731 is an equidigital number, since it uses as much as digits as its factorization.

10165124731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10165124731 in words is "ten billion, one hundred sixty-five million, one hundred twenty-four thousand, seven hundred thirty-one".