Search a number
-
+
13303123181 is a prime number
BaseRepresentation
bin11000110001110110…
…11000110011101101
31021100010011200021222
430120323120303231
5204221044420211
610040020033125
7650443452455
oct143073306355
937303150258
1013303123181
1157072a2387
1226b32327a5
13134012422a
14902b12d65
1552cd7b1db
hex318ed8ced

13303123181 has 2 divisors, whose sum is σ = 13303123182. Its totient is φ = 13303123180.

The previous prime is 13303123139. The next prime is 13303123187. The reversal of 13303123181 is 18132130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12860694025 + 442429156 = 113405^2 + 21034^2 .

It is a cyclic number.

It is not a de Polignac number, because 13303123181 - 214 = 13303106797 is a prime.

It is a super-2 number, since 2×133031231812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13303123181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13303123187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651561590 + 6651561591.

It is an arithmetic number, because the mean of its divisors is an integer number (6651561591).

Almost surely, 213303123181 is an apocalyptic number.

It is an amenable number.

13303123181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303123181 is an equidigital number, since it uses as much as digits as its factorization.

13303123181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13303123181 in words is "thirteen billion, three hundred three million, one hundred twenty-three thousand, one hundred eighty-one".