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122951948921 is a prime number
BaseRepresentation
bin111001010000010000…
…0011101101001111001
3102202100201210011010222
41302200200131221321
54003301144331141
6132252222545425
711611602215324
oct1624040355171
9382321704128
10122951948921
114816419602a
121b9b4438275
13b7959465c9
145d454017bb
1532e920714b
hex1ca081da79

122951948921 has 2 divisors, whose sum is σ = 122951948922. Its totient is φ = 122951948920.

The previous prime is 122951948837. The next prime is 122951948923. The reversal of 122951948921 is 129849159221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80846960896 + 42104988025 = 284336^2 + 205195^2 .

It is a cyclic number.

It is not a de Polignac number, because 122951948921 - 210 = 122951947897 is a prime.

Together with 122951948923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122951948923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61475974460 + 61475974461.

It is an arithmetic number, because the mean of its divisors is an integer number (61475974461).

Almost surely, 2122951948921 is an apocalyptic number.

It is an amenable number.

122951948921 is a deficient number, since it is larger than the sum of its proper divisors (1).

122951948921 is an equidigital number, since it uses as much as digits as its factorization.

122951948921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 933120, while the sum is 53.

The spelling of 122951948921 in words is "one hundred twenty-two billion, nine hundred fifty-one million, nine hundred forty-eight thousand, nine hundred twenty-one".