Search a number
-
+
33113131 is a prime number
BaseRepresentation
bin111111001010…
…0010000101011
32022022022200021
41332110100223
531434110011
63141421311
7551312512
oct176242053
968268607
1033113131
1117767427
12b10a837
136b24c8c
14457d679
152d91471
hex1f9442b

33113131 has 2 divisors, whose sum is σ = 33113132. Its totient is φ = 33113130.

The previous prime is 33113111. The next prime is 33113149. The reversal of 33113131 is 13131133.

It is a strong prime.

It is an emirp because it is prime and its reverse (13131133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33113131 - 211 = 33111083 is a prime.

It is a super-2 number, since 2×331131312 = 2192958889246322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556565 + 16556566.

It is an arithmetic number, because the mean of its divisors is an integer number (16556566).

Almost surely, 233113131 is an apocalyptic number.

33113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33113131 is an equidigital number, since it uses as much as digits as its factorization.

33113131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 16.

The square root of 33113131 is about 5754.4010113999. The cubic root of 33113131 is about 321.1195518757.

Adding to 33113131 its reverse (13131133), we get a palindrome (46244264).

The spelling of 33113131 in words is "thirty-three million, one hundred thirteen thousand, one hundred thirty-one".