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13531136989 is a prime number
BaseRepresentation
bin11001001101000010…
…01100001111011101
31021221000012222102211
430212201030033131
5210202432340424
610114403120421
7656212523656
oct144641141735
937830188384
1013531136989
115813a79547
122757673111
131378439446
1492510852d
15542dbab94
hex32684c3dd

13531136989 has 2 divisors, whose sum is σ = 13531136990. Its totient is φ = 13531136988.

The previous prime is 13531136909. The next prime is 13531137007. The reversal of 13531136989 is 98963113531.

13531136989 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., 13411956100 + 119180889 = 115810^2 + 10917^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531136989 - 213 = 13531128797 is a prime.

It is a super-2 number, since 2×135311369892 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13531136909) 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, 6765568494 + 6765568495.

It is an arithmetic number, because the mean of its divisors is an integer number (6765568495).

Almost surely, 213531136989 is an apocalyptic number.

It is an amenable number.

13531136989 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531136989 is an equidigital number, since it uses as much as digits as its factorization.

13531136989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 524880, while the sum is 49.

The spelling of 13531136989 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-six thousand, nine hundred eighty-nine".