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12022333344313 is a prime number
BaseRepresentation
bin1010111011110010101011…
…1010001000101000111001
31120120022202002012112200221
42232330222322020220321
53033433214314004223
641322552251100041
72350404425215345
oct256745272105071
946508662175627
1012022333344313
113915708829a56
121422013141621
13692916615916
142d7c53b32625
1515cadd947b5d
hexaef2ae88a39

12022333344313 has 2 divisors, whose sum is σ = 12022333344314. Its totient is φ = 12022333344312.

The previous prime is 12022333344311. The next prime is 12022333344331. The reversal of 12022333344313 is 31344333322021.

It is a happy number.

Together with next prime (12022333344331) 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., 11008944828729 + 1013388515584 = 3317973^2 + 1006672^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022333344313 - 21 = 12022333344311 is a prime.

Together with 12022333344311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12022333344311) 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, 6011166672156 + 6011166672157.

It is an arithmetic number, because the mean of its divisors is an integer number (6011166672157).

Almost surely, 212022333344313 is an apocalyptic number.

It is an amenable number.

12022333344313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022333344313 is an equidigital number, since it uses as much as digits as its factorization.

12022333344313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 12022333344313 its reverse (31344333322021), we get a palindrome (43366666666334).

The spelling of 12022333344313 in words is "twelve trillion, twenty-two billion, three hundred thirty-three million, three hundred forty-four thousand, three hundred thirteen".