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122313032129 is a prime number
BaseRepresentation
bin111000111101001101…
…1001100000111000001
3102200201012112211002002
41301322123030013001
54000444114012004
6132105000433345
711560013422211
oct1617233140701
9380635484062
10122313032129
1147966577422
121b856478855
13b6c3473232
145cc4608241
1532ad09d61e
hex1c7a6cc1c1

122313032129 has 2 divisors, whose sum is σ = 122313032130. Its totient is φ = 122313032128.

The previous prime is 122313032123. The next prime is 122313032159. The reversal of 122313032129 is 921230313221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112075639729 + 10237392400 = 334777^2 + 101180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122313032129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122313032123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156516064 + 61156516065.

It is an arithmetic number, because the mean of its divisors is an integer number (61156516065).

Almost surely, 2122313032129 is an apocalyptic number.

It is an amenable number.

122313032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313032129 is an equidigital number, since it uses as much as digits as its factorization.

122313032129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 122313032129 in words is "one hundred twenty-two billion, three hundred thirteen million, thirty-two thousand, one hundred twenty-nine".