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12323200306817 is a prime number
BaseRepresentation
bin1011001101010011011111…
…1110100000111010000001
31121122002100000110211102102
42303110313332200322001
53103400403234304232
642113111114200145
72411215251210341
oct263246776407201
947562300424372
1012323200306817
113a21270342a94
12147039aa23055
136b50c3c4149a
14308636070d21
1516584c2a9662
hexb3537fa0e81

12323200306817 has 2 divisors, whose sum is σ = 12323200306818. Its totient is φ = 12323200306816.

The previous prime is 12323200306793. The next prime is 12323200306819. The reversal of 12323200306817 is 71860300232321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11941938515521 + 381261791296 = 3455711^2 + 617464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12323200306817 is a prime.

It is a super-2 number, since 2×123232003068172 (a number of 27 digits) contains 22 as substring.

Together with 12323200306819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12323200306819) 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, 6161600153408 + 6161600153409.

It is an arithmetic number, because the mean of its divisors is an integer number (6161600153409).

Almost surely, 212323200306817 is an apocalyptic number.

It is an amenable number.

12323200306817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12323200306817 is an equidigital number, since it uses as much as digits as its factorization.

12323200306817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 12323200306817 in words is "twelve trillion, three hundred twenty-three billion, two hundred million, three hundred six thousand, eight hundred seventeen".