Search a number
-
+
10113007969 is a prime number
BaseRepresentation
bin10010110101100100…
…00100000101100001
3222002210102000220201
421122302010011201
5131202412223334
64351300505201
7505416102151
oct113262040541
928083360821
1010113007969
11431a590629
121b629ab201
13c522369ac
146bd17c761
153e2c81c14
hex25ac84161

10113007969 has 2 divisors, whose sum is σ = 10113007970. Its totient is φ = 10113007968.

The previous prime is 10113007937. The next prime is 10113007973. The reversal of 10113007969 is 96970031101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5598780625 + 4514227344 = 74825^2 + 67188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113007969 - 25 = 10113007937 is a prime.

It is a super-2 number, since 2×101130079692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10113007909) 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, 5056503984 + 5056503985.

It is an arithmetic number, because the mean of its divisors is an integer number (5056503985).

Almost surely, 210113007969 is an apocalyptic number.

It is an amenable number.

10113007969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113007969 is an equidigital number, since it uses as much as digits as its factorization.

10113007969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 37.

The spelling of 10113007969 in words is "ten billion, one hundred thirteen million, seven thousand, nine hundred sixty-nine".