Search a number
-
+
33235053013 is a prime number
BaseRepresentation
bin11110111100111101…
…101010100111010101
310011210012121121211101
4132330331222213111
51021031133144023
623133514310101
72254411201201
oct367475524725
9104705547741
1033235053013
1113105359268
126536428331
133198687856
141873d59b01
15ce7b4d1ad
hex7bcf6a9d5

33235053013 has 2 divisors, whose sum is σ = 33235053014. Its totient is φ = 33235053012.

The previous prime is 33235053011. The next prime is 33235053029. The reversal of 33235053013 is 31035053233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26366290129 + 6868762884 = 162377^2 + 82878^2 .

It is a cyclic number.

It is not a de Polignac number, because 33235053013 - 21 = 33235053011 is a prime.

It is a super-2 number, since 2×332350530132 (a number of 22 digits) contains 22 as substring.

Together with 33235053011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33235053011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16617526506 + 16617526507.

It is an arithmetic number, because the mean of its divisors is an integer number (16617526507).

Almost surely, 233235053013 is an apocalyptic number.

It is an amenable number.

33235053013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33235053013 is an equidigital number, since it uses as much as digits as its factorization.

33235053013 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 28.

The spelling of 33235053013 in words is "thirty-three billion, two hundred thirty-five million, fifty-three thousand, thirteen".