Search a number
-
+
123222132169 is a prime number
BaseRepresentation
bin111001011000010011…
…1001000010111001001
3102210001120011212212221
41302300213020113021
54004324331212134
6132335113534041
711621362561513
oct1626047102711
9383046155787
10123222132169
1148292754774
121ba6aa14321
13b809904956
145d6d252bb3
153312cc65b4
hex1cb09c85c9

123222132169 has 2 divisors, whose sum is σ = 123222132170. Its totient is φ = 123222132168.

The previous prime is 123222132139. The next prime is 123222132181. The reversal of 123222132169 is 961231222321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123052220944 + 169911225 = 350788^2 + 13035^2 .

It is a cyclic number.

It is not a de Polignac number, because 123222132169 - 213 = 123222123977 is a prime.

It is a super-2 number, since 2×1232221321692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123222132139) 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, 61611066084 + 61611066085.

It is an arithmetic number, because the mean of its divisors is an integer number (61611066085).

Almost surely, 2123222132169 is an apocalyptic number.

It is an amenable number.

123222132169 is a deficient number, since it is larger than the sum of its proper divisors (1).

123222132169 is an equidigital number, since it uses as much as digits as its factorization.

123222132169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The spelling of 123222132169 in words is "one hundred twenty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred sixty-nine".