Search a number
-
+
23133131313 = 3197916331517
BaseRepresentation
bin10101100010110101…
…111001001000110001
32012201012001211102020
4111202311321020301
5334334040200223
614343251142053
71446155241345
oct254265711061
965635054366
1023133131313
1198a105aa46
1245972a4929
132248832ca6
141196465625
15905d5b1e3
hex562d79231

23133131313 has 32 divisors (see below), whose sum is σ = 33081292800. Its totient is φ = 14336502336.

The previous prime is 23133131311. The next prime is 23133131317. The reversal of 23133131313 is 31313133132.

It is not a de Polignac number, because 23133131313 - 21 = 23133131311 is a prime.

It is a super-2 number, since 2×231331313132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23133131311) 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 31 ways as a sum of consecutive naturals, for example, 718231 + ... + 749747.

It is an arithmetic number, because the mean of its divisors is an integer number (1033790400).

Almost surely, 223133131313 is an apocalyptic number.

It is an amenable number.

23133131313 is a deficient number, since it is larger than the sum of its proper divisors (9948161487).

23133131313 is a wasteful number, since it uses less digits than its factorization.

23133131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31781.

The product of its digits is 1458, while the sum is 24.

Adding to 23133131313 its reverse (31313133132), we get a palindrome (54446264445).

The spelling of 23133131313 in words is "twenty-three billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 19 57 79 163 237 489 1501 3097 4503 9291 12877 31517 38631 94551 244663 598823 733989 1796469 2489843 5137271 7469529 15411813 47307017 97608149 141921051 292824447 405844409 1217533227 7711043771 23133131313