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122131129 is a prime number
BaseRepresentation
bin1110100011110…
…01001010111001
322111210220102011
413101321022321
5222231144004
620041405521
73012045301
oct721711271
9274726364
10122131129
1162a37a1a
1234a998a1
131c3c1c53
1412312601
15aac7004
hex74792b9

122131129 has 2 divisors, whose sum is σ = 122131130. Its totient is φ = 122131128.

The previous prime is 122131123. The next prime is 122131157. The reversal of 122131129 is 921131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84640000 + 37491129 = 9200^2 + 6123^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131129 - 217 = 122000057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122131123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065564 + 61065565.

It is an arithmetic number, because the mean of its divisors is an integer number (61065565).

Almost surely, 2122131129 is an apocalyptic number.

It is an amenable number.

122131129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131129 is an equidigital number, since it uses as much as digits as its factorization.

122131129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 22.

The square root of 122131129 is about 11051.2953539393. The cubic root of 122131129 is about 496.1451960131.

The spelling of 122131129 in words is "one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-nine".