Search a number
-
+
13311233131 = 72299367511
BaseRepresentation
bin11000110010110100…
…10100110001101011
31021100200102201001111
430121122110301223
5204230133430011
610040505531151
7650602420600
oct143132246153
937320381044
1013311233131
115710931519
1226b5aa3ab7
131341a03711
14903c246a7
1552d92e121
hex319694c6b

13311233131 has 12 divisors (see below), whose sum is σ = 16018445520. Its totient is φ = 11016191760.

The previous prime is 13311233101. The next prime is 13311233153. The reversal of 13311233131 is 13133211331.

13311233131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13311233131 - 219 = 13310708843 is a prime.

It is a super-2 number, since 2×133112331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311233101) 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 in 11 ways as a sum of consecutive naturals, for example, 4682335 + ... + 4685176.

It is an arithmetic number, because the mean of its divisors is an integer number (1334870460).

Almost surely, 213311233131 is an apocalyptic number.

13311233131 is a deficient number, since it is larger than the sum of its proper divisors (2707212389).

13311233131 is an equidigital number, since it uses as much as digits as its factorization.

13311233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367554 (or 9367547 counting only the distinct ones).

The product of its digits is 486, while the sum is 22.

Adding to 13311233131 its reverse (13133211331), we get a palindrome (26444444462).

The spelling of 13311233131 in words is "thirteen billion, three hundred eleven million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 29 49 203 1421 9367511 65572577 271657819 459008039 1901604733 13311233131