Search a number
-
+
13109179481 is a prime number
BaseRepresentation
bin11000011010101111…
…00011010001011001
31020211121020022112222
430031113203101121
5203321422220411
610004451113425
7642600121106
oct141527432131
936747208488
1013109179481
115617876632
12265a2a2875
13130bbaa748
148c5069aad
1551ad1b4db
hex30d5e3459

13109179481 has 2 divisors, whose sum is σ = 13109179482. Its totient is φ = 13109179480.

The previous prime is 13109179469. The next prime is 13109179483. The reversal of 13109179481 is 18497190131.

13109179481 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., 12345209881 + 763969600 = 111109^2 + 27640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13109179481 is a prime.

It is a super-2 number, since 2×131091794812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 13109179483, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13109179483) 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, 6554589740 + 6554589741.

It is an arithmetic number, because the mean of its divisors is an integer number (6554589741).

Almost surely, 213109179481 is an apocalyptic number.

It is an amenable number.

13109179481 is a deficient number, since it is larger than the sum of its proper divisors (1).

13109179481 is an equidigital number, since it uses as much as digits as its factorization.

13109179481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 13109179481 in words is "thirteen billion, one hundred nine million, one hundred seventy-nine thousand, four hundred eighty-one".