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22121000137 is a prime number
BaseRepresentation
bin10100100110100000…
…111010110011001001
32010002122120020110101
4110212200322303021
5330300434001022
614055013445401
71412115253525
oct244640726311
963078506411
1022121000137
1194218008a5
124354340861
132116c391c2
1410dbc7ad85
15897080627
hex52683acc9

22121000137 has 2 divisors, whose sum is σ = 22121000138. Its totient is φ = 22121000136.

The previous prime is 22121000129. The next prime is 22121000141. The reversal of 22121000137 is 73100012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17228137536 + 4892862601 = 131256^2 + 69949^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121000137 - 23 = 22121000129 is a prime.

It is a super-2 number, since 2×221210001372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22121000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060500068 + 11060500069.

It is an arithmetic number, because the mean of its divisors is an integer number (11060500069).

Almost surely, 222121000137 is an apocalyptic number.

It is an amenable number.

22121000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121000137 is an equidigital number, since it uses as much as digits as its factorization.

22121000137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 22121000137 its reverse (73100012122), we get a palindrome (95221012259).

The spelling of 22121000137 in words is "twenty-two billion, one hundred twenty-one million, one hundred thirty-seven", and thus it is an aban number.