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13312242089 is a prime number
BaseRepresentation
bin11000110010111100…
…01011000110101001
31021100202022222002022
430121132023012221
5204230413221324
610040543314225
7650614122266
oct143136130651
937322288068
1013312242089
115711460573
1226b62ab975
131341c97a33
1490400826d
1552da7d05e
hex31978b1a9

13312242089 has 2 divisors, whose sum is σ = 13312242090. Its totient is φ = 13312242088.

The previous prime is 13312242043. The next prime is 13312242091. The reversal of 13312242089 is 98024221331.

It is a happy number.

13312242089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13269888025 + 42354064 = 115195^2 + 6508^2 .

It is an emirp because it is prime and its reverse (98024221331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13312242089 - 212 = 13312237993 is a prime.

It is a super-2 number, since 2×133122420892 (a number of 21 digits) contains 22 as substring.

Together with 13312242091, 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 (13312242029) 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, 6656121044 + 6656121045.

It is an arithmetic number, because the mean of its divisors is an integer number (6656121045).

Almost surely, 213312242089 is an apocalyptic number.

It is an amenable number.

13312242089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312242089 is an equidigital number, since it uses as much as digits as its factorization.

13312242089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13312242089 in words is "thirteen billion, three hundred twelve million, two hundred forty-two thousand, eighty-nine".