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22323131329 is a prime number
BaseRepresentation
bin10100110010100011…
…111111001111000001
32010121201220120022211
4110302203333033001
5331204210200304
614131034102121
71420121325352
oct246243771701
963551816284
1022323131329
119515909a74
1243abb7a941
132149a8b565
14111aa55d29
158a9bab204
hex5328ff3c1

22323131329 has 2 divisors, whose sum is σ = 22323131330. Its totient is φ = 22323131328.

The previous prime is 22323131219. The next prime is 22323131399. The reversal of 22323131329 is 92313132322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14846935104 + 7476196225 = 121848^2 + 86465^2 .

It is a cyclic number.

It is not a de Polignac number, because 22323131329 - 211 = 22323129281 is a prime.

It is a super-3 number, since 3×223231313293 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22323131329.

It is not a weakly prime, because it can be changed into another prime (22323131399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161565664 + 11161565665.

It is an arithmetic number, because the mean of its divisors is an integer number (11161565665).

Almost surely, 222323131329 is an apocalyptic number.

It is an amenable number.

22323131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

22323131329 is an equidigital number, since it uses as much as digits as its factorization.

22323131329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The spelling of 22323131329 in words is "twenty-two billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-nine".