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13337366989 is a prime number
BaseRepresentation
bin11000110101111100…
…00001000111001101
31021102111121102222011
430122332001013031
5204303331220424
610043242021221
7651340514602
oct143276010715
937374542864
1013337366989
115724661251
1227027a7811
131347253a3b
149074a86a9
15530d92694
hex31af811cd

13337366989 has 2 divisors, whose sum is σ = 13337366990. Its totient is φ = 13337366988.

The previous prime is 13337366963. The next prime is 13337367041. The reversal of 13337366989 is 98966373331.

13337366989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13290170089 + 47196900 = 115283^2 + 6870^2 .

It is a cyclic number.

It is not a de Polignac number, because 13337366989 - 211 = 13337364941 is a prime.

It is a super-3 number, since 3×133373669893 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13337366909) 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, 6668683494 + 6668683495.

It is an arithmetic number, because the mean of its divisors is an integer number (6668683495).

Almost surely, 213337366989 is an apocalyptic number.

It is an amenable number.

13337366989 is a deficient number, since it is larger than the sum of its proper divisors (1).

13337366989 is an equidigital number, since it uses as much as digits as its factorization.

13337366989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13226976, while the sum is 58.

The spelling of 13337366989 in words is "thirteen billion, three hundred thirty-seven million, three hundred sixty-six thousand, nine hundred eighty-nine".