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22012123121 is a prime number
BaseRepresentation
bin10100100000000001…
…100101011111110001
32002211001200201021022
4110200001211133301
5330040100414441
614040124105225
71406323650032
oct244001453761
962731621238
1022012123121
1193762a699a
124323995215
1320ca508031
1410cb618a89
1588c72584b
hex5200657f1

22012123121 has 2 divisors, whose sum is σ = 22012123122. Its totient is φ = 22012123120.

The previous prime is 22012123093. The next prime is 22012123123. The reversal of 22012123121 is 12132121022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20410122496 + 1602000625 = 142864^2 + 40025^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012123121 - 26 = 22012123057 is a prime.

Together with 22012123123, 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 22012123121.

It is not a weakly prime, because it can be changed into another prime (22012123123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006061560 + 11006061561.

It is an arithmetic number, because the mean of its divisors is an integer number (11006061561).

Almost surely, 222012123121 is an apocalyptic number.

It is an amenable number.

22012123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22012123121 is an equidigital number, since it uses as much as digits as its factorization.

22012123121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22012123121 its reverse (12132121022), we get a palindrome (34144244143).

The spelling of 22012123121 in words is "twenty-two billion, twelve million, one hundred twenty-three thousand, one hundred twenty-one".