Search a number
-
+
12221104957 is a prime number
BaseRepresentation
bin10110110000110111…
…10100001100111101
31011112201011110022221
423120123310030331
5200012100324312
65340404405341
7611564451415
oct133033641475
934481143287
1012221104957
11520154a046
1224509a6851
1311c9bcb169
1483d135645
154b7d98207
hex2d86f433d

12221104957 has 2 divisors, whose sum is σ = 12221104958. Its totient is φ = 12221104956.

The previous prime is 12221104937. The next prime is 12221104967. The reversal of 12221104957 is 75940112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12139852761 + 81252196 = 110181^2 + 9014^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221104957 - 223 = 12212716349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221104927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110552478 + 6110552479.

It is an arithmetic number, because the mean of its divisors is an integer number (6110552479).

Almost surely, 212221104957 is an apocalyptic number.

It is an amenable number.

12221104957 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221104957 is an equidigital number, since it uses as much as digits as its factorization.

12221104957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 12221104957 in words is "twelve billion, two hundred twenty-one million, one hundred four thousand, nine hundred fifty-seven".