Search a number
-
+
13303122983 is a prime number
BaseRepresentation
bin11000110001110110…
…11000110000100111
31021100010011200000122
430120323120300213
5204221044413413
610040020032155
7650443452053
oct143073306047
937303150018
1013303122983
1157072a2217
1226b323265b
131340124107
14902b12c63
1552cd7b108
hex318ed8c27

13303122983 has 2 divisors, whose sum is σ = 13303122984. Its totient is φ = 13303122982.

The previous prime is 13303122941. The next prime is 13303123039. The reversal of 13303122983 is 38922130331.

13303122983 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 is a cyclic number.

It is not a de Polignac number, because 13303122983 - 226 = 13236014119 is a prime.

It is a super-2 number, since 2×133031229832 (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 (13303122083) 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, 6651561491 + 6651561492.

It is an arithmetic number, because the mean of its divisors is an integer number (6651561492).

Almost surely, 213303122983 is an apocalyptic number.

13303122983 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303122983 is an equidigital number, since it uses as much as digits as its factorization.

13303122983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 13303122983 in words is "thirteen billion, three hundred three million, one hundred twenty-two thousand, nine hundred eighty-three".