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12311033121333 = 331034426836793
BaseRepresentation
bin1011001100100110001011…
…0000011000101000110101
31121120220221001202202201000
42303021202300120220311
53103200443434340313
642103335513153513
72410304606636352
oct263114260305065
947526831682630
1012311033121333
113a170972814a1
121469b640bb899
136b3c0527174b
14307c00173629
15165389012673
hexb3262c18a35

12311033121333 has 16 divisors (see below), whose sum is σ = 18415641063040. Its totient is φ = 8127672350112.

The previous prime is 12311033121323. The next prime is 12311033121349. The reversal of 12311033121333 is 33312133011321.

12311033121333 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 10 + 3 + 312 + 1 + 333 = 666.

It is not a de Polignac number, because 12311033121333 - 26 = 12311033121269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12311033121297 and 12311033121306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311033121323) 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 in 15 ways as a sum of consecutive naturals, for example, 2213415616 + ... + 2213421177.

It is an arithmetic number, because the mean of its divisors is an integer number (1150977566440).

Almost surely, 212311033121333 is an apocalyptic number.

It is an amenable number.

12311033121333 is a deficient number, since it is larger than the sum of its proper divisors (6104607941707).

12311033121333 is a wasteful number, since it uses less digits than its factorization.

12311033121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426836905 (or 4426836899 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12311033121333 its reverse (33312133011321), we get a palindrome (45623166132654).

The spelling of 12311033121333 in words is "twelve trillion, three hundred eleven billion, thirty-three million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 103 309 927 2781 4426836793 13280510379 39841531137 119524593411 455964189679 1367892569037 4103677707111 12311033121333