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22142513101 is a prime number
BaseRepresentation
bin10100100111110010…
…111110111111001101
32010011011001012200211
4110213302332333031
5330321440404401
614101102522421
71412466153532
oct244762767715
963134035624
1022142513101
119432964905
12435b596411
13211b52c177
141100a7ad89
15898dce951
hex527cbefcd

22142513101 has 2 divisors, whose sum is σ = 22142513102. Its totient is φ = 22142513100.

The previous prime is 22142513093. The next prime is 22142513117. The reversal of 22142513101 is 10131524122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14665452201 + 7477060900 = 121101^2 + 86470^2 .

It is a cyclic number.

It is not a de Polignac number, because 22142513101 - 23 = 22142513093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22142513131) 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, 11071256550 + 11071256551.

It is an arithmetic number, because the mean of its divisors is an integer number (11071256551).

Almost surely, 222142513101 is an apocalyptic number.

It is an amenable number.

22142513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22142513101 is an equidigital number, since it uses as much as digits as its factorization.

22142513101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 22142513101 in words is "twenty-two billion, one hundred forty-two million, five hundred thirteen thousand, one hundred one".