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12333122133289 is a prime number
BaseRepresentation
bin1011001101111000011101…
…0111010001110100101001
31121200000221111010211121221
42303132013113101310221
53104031213231231124
642121431425302041
72412016156304206
oct263360727216451
947600844124557
1012333122133289
113a254a1a14081
1214722a9794921
136b601568aa19
14308cd7a84cad
15165c2d374ce4
hexb37875d1d29

12333122133289 has 2 divisors, whose sum is σ = 12333122133290. Its totient is φ = 12333122133288.

The previous prime is 12333122133287. The next prime is 12333122133323. The reversal of 12333122133289 is 98233122133321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11303830721689 + 1029291411600 = 3362117^2 + 1014540^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333122133289 - 21 = 12333122133287 is a prime.

Together with 12333122133287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12333122133287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166561066644 + 6166561066645.

It is an arithmetic number, because the mean of its divisors is an integer number (6166561066645).

Almost surely, 212333122133289 is an apocalyptic number.

It is an amenable number.

12333122133289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333122133289 is an equidigital number, since it uses as much as digits as its factorization.

12333122133289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 279936, while the sum is 43.

The spelling of 12333122133289 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred eighty-nine".