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13338342089 is a prime number
BaseRepresentation
bin11000110110000011…
…01111001011001001
31021102120102222112222
430123001233023021
5204304103421324
610043314543425
7651352015502
oct143301571311
937376388488
1013338342089
115725167916
122702b97b75
131347505817
1490767dba9
15530ed655e
hex31b06f2c9

13338342089 has 2 divisors, whose sum is σ = 13338342090. Its totient is φ = 13338342088.

The previous prime is 13338342077. The next prime is 13338342169. The reversal of 13338342089 is 98024383331.

13338342089 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., 9985005625 + 3353336464 = 99925^2 + 57908^2 .

It is a cyclic number.

It is not a de Polignac number, because 13338342089 - 212 = 13338337993 is a prime.

It is a super-2 number, since 2×133383420892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13338342029) 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, 6669171044 + 6669171045.

It is an arithmetic number, because the mean of its divisors is an integer number (6669171045).

Almost surely, 213338342089 is an apocalyptic number.

It is an amenable number.

13338342089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13338342089 is an equidigital number, since it uses as much as digits as its factorization.

13338342089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 13338342089 in words is "thirteen billion, three hundred thirty-eight million, three hundred forty-two thousand, eighty-nine".