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122540002129 is a prime number
BaseRepresentation
bin111001000011111110…
…1000000101101010001
3102201022000122002101101
41302013331000231101
54001430220032004
6132143305304401
711565440555266
oct1620775005521
9381260562341
10122540002129
1147a72700336
121b8ba495101
13b72b4b12cc
145d0680b26d
1532c2e83ba4
hex1c87f40b51

122540002129 has 2 divisors, whose sum is σ = 122540002130. Its totient is φ = 122540002128.

The previous prime is 122540002069. The next prime is 122540002139. The reversal of 122540002129 is 921200045221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102332811025 + 20207191104 = 319895^2 + 142152^2 .

It is a cyclic number.

It is not a de Polignac number, because 122540002129 - 27 = 122540002001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122540002097 and 122540002106.

It is not a weakly prime, because it can be changed into another prime (122540002139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61270001064 + 61270001065.

It is an arithmetic number, because the mean of its divisors is an integer number (61270001065).

Almost surely, 2122540002129 is an apocalyptic number.

It is an amenable number.

122540002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122540002129 is an equidigital number, since it uses as much as digits as its factorization.

122540002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 122540002129 in words is "one hundred twenty-two billion, five hundred forty million, two thousand, one hundred twenty-nine".