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122022100961 is a prime number
BaseRepresentation
bin111000110100100010…
…1010111111111100001
3102122221221002222112122
41301221011113333201
53444400124212321
6132020045034025
711546551513325
oct1615105277741
9378857088478
10122022100961
1147827327542
121b794b55915
13b6780cc207
145c97b15985
1532927818ab
hex1c69157fe1

122022100961 has 2 divisors, whose sum is σ = 122022100962. Its totient is φ = 122022100960.

The previous prime is 122022100957. The next prime is 122022101041. The reversal of 122022100961 is 169001220221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91412499025 + 30609601936 = 302345^2 + 174956^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022100961 - 22 = 122022100957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122022100961.

It is not a weakly prime, because it can be changed into another prime (122022100901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011050480 + 61011050481.

It is an arithmetic number, because the mean of its divisors is an integer number (61011050481).

Almost surely, 2122022100961 is an apocalyptic number.

It is an amenable number.

122022100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022100961 is an equidigital number, since it uses as much as digits as its factorization.

122022100961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 122022100961 in words is "one hundred twenty-two billion, twenty-two million, one hundred thousand, nine hundred sixty-one".