Search a number
-
+
13123533053 is a prime number
BaseRepresentation
bin11000011100011100…
…10011100011111101
31020212121020112221202
430032032103203331
5203334111024203
610010122505245
7643133122211
oct141616234375
936777215852
1013123533053
11562498a694
122663065225
131311b64a97
148c6d24941
1551c204388
hex30e3938fd

13123533053 has 2 divisors, whose sum is σ = 13123533054. Its totient is φ = 13123533052.

The previous prime is 13123533041. The next prime is 13123533077. The reversal of 13123533053 is 35033532131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8830924729 + 4292608324 = 93973^2 + 65518^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123533053 - 24 = 13123533037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123533013) 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, 6561766526 + 6561766527.

It is an arithmetic number, because the mean of its divisors is an integer number (6561766527).

Almost surely, 213123533053 is an apocalyptic number.

It is an amenable number.

13123533053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123533053 is an equidigital number, since it uses as much as digits as its factorization.

13123533053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 29.

The spelling of 13123533053 in words is "thirteen billion, one hundred twenty-three million, five hundred thirty-three thousand, fifty-three".