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122540115197 is a prime number
BaseRepresentation
bin111001000011111110…
…1011100010011111101
3102201022000211211111002
41302013331130103331
54001430232141242
6132143311540045
711565441536033
oct1620775342375
9381260754432
10122540115197
1147a72778285
121b8ba52a625
13b72b520906
145d0683a553
1532c2ea7432
hex1c87f5c4fd

122540115197 has 2 divisors, whose sum is σ = 122540115198. Its totient is φ = 122540115196.

The previous prime is 122540115163. The next prime is 122540115199. The reversal of 122540115197 is 791511045221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109414746841 + 13125368356 = 330779^2 + 114566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122540115197 is a prime.

Together with 122540115199, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122540115197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122540115199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61270057598 + 61270057599.

It is an arithmetic number, because the mean of its divisors is an integer number (61270057599).

Almost surely, 2122540115197 is an apocalyptic number.

It is an amenable number.

122540115197 is a deficient number, since it is larger than the sum of its proper divisors (1).

122540115197 is an equidigital number, since it uses as much as digits as its factorization.

122540115197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 38.

The spelling of 122540115197 in words is "one hundred twenty-two billion, five hundred forty million, one hundred fifteen thousand, one hundred ninety-seven".