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22022122097 is a prime number
BaseRepresentation
bin10100100000100111…
…101110101001110001
32002211202111201021202
4110200213232221301
5330100130401342
614041122300545
71406504643413
oct244047565161
962752451252
1022022122097
119380a06308
1243271b7755
1320cc5c92a1
1410cca9c9b3
1588d54d332
hex5209eea71

22022122097 has 2 divisors, whose sum is σ = 22022122098. Its totient is φ = 22022122096.

The previous prime is 22022122079. The next prime is 22022122127. The reversal of 22022122097 is 79022122022.

Together with previous prime (22022122079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12631736881 + 9390385216 = 112391^2 + 96904^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022122097 - 28 = 22022121841 is a prime.

It is not a weakly prime, because it can be changed into another prime (22022122597) 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, 11011061048 + 11011061049.

It is an arithmetic number, because the mean of its divisors is an integer number (11011061049).

Almost surely, 222022122097 is an apocalyptic number.

It is an amenable number.

22022122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022122097 is an equidigital number, since it uses as much as digits as its factorization.

22022122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 22022122097 in words is "twenty-two billion, twenty-two million, one hundred twenty-two thousand, ninety-seven".