Search a number
-
+
123122310029 is a prime number
BaseRepresentation
bin111001010101010101…
…0010101101110001101
3102202210121100101122122
41302222222111232031
54004123302410104
6132321150222325
711616041240045
oct1625252255615
9382717311578
10123122310029
1148241374934
121ba414b49a5
13b7c20240b4
145d5dcaa725
1533091596be
hex1caaa95b8d

123122310029 has 2 divisors, whose sum is σ = 123122310030. Its totient is φ = 123122310028.

The previous prime is 123122310023. The next prime is 123122310043. The reversal of 123122310029 is 920013221321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92006055625 + 31116254404 = 303325^2 + 176398^2 .

It is a cyclic number.

It is not a de Polignac number, because 123122310029 - 220 = 123121261453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123122310023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561155014 + 61561155015.

It is an arithmetic number, because the mean of its divisors is an integer number (61561155015).

Almost surely, 2123122310029 is an apocalyptic number.

It is an amenable number.

123122310029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123122310029 is an equidigital number, since it uses as much as digits as its factorization.

123122310029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 123122310029 in words is "one hundred twenty-three billion, one hundred twenty-two million, three hundred ten thousand, twenty-nine".