Search a number
-
+
13991307089 is a prime number
BaseRepresentation
bin11010000011111001…
…00110011101010001
31100010002010001010212
431001330212131101
5212123233311324
610232202133505
71003501101524
oct150174463521
940102101125
1013991307089
115a2a801111
1228657b1295
13141c887246
1496a292bbb
1556d4b770e
hex341f26751

13991307089 has 2 divisors, whose sum is σ = 13991307090. Its totient is φ = 13991307088.

The previous prime is 13991307061. The next prime is 13991307103. The reversal of 13991307089 is 98070319931.

It is a happy number.

13991307089 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., 13527550864 + 463756225 = 116308^2 + 21535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13991307089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13991303089) 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, 6995653544 + 6995653545.

It is an arithmetic number, because the mean of its divisors is an integer number (6995653545).

Almost surely, 213991307089 is an apocalyptic number.

It is an amenable number.

13991307089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13991307089 is an equidigital number, since it uses as much as digits as its factorization.

13991307089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 50.

The spelling of 13991307089 in words is "thirteen billion, nine hundred ninety-one million, three hundred seven thousand, eighty-nine".