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23133313349 is a prime number
BaseRepresentation
bin10101100010110110…
…100101100101000101
32012201012102002010022
4111202312211211011
5334334112011344
614343255104525
71446156630146
oct254266454505
965635362108
1023133313349
1198a1174793
124597372145
132248897ac3
1411964b1acd
15905d950ee
hex562da5945

23133313349 has 2 divisors, whose sum is σ = 23133313350. Its totient is φ = 23133313348.

The previous prime is 23133313327. The next prime is 23133313351. The reversal of 23133313349 is 94331333132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23050830625 + 82482724 = 151825^2 + 9082^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133313349 - 224 = 23116536133 is a prime.

Together with 23133313351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23133373349) 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, 11566656674 + 11566656675.

It is an arithmetic number, because the mean of its divisors is an integer number (11566656675).

Almost surely, 223133313349 is an apocalyptic number.

It is an amenable number.

23133313349 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133313349 is an equidigital number, since it uses as much as digits as its factorization.

23133313349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 35.

The spelling of 23133313349 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred forty-nine".