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13331031123 = 3191271841557
BaseRepresentation
bin11000110101001011…
…10110010001010011
31021102001200112210110
430122211312101103
5204300220443443
610042454132403
7651232615644
oct143245662123
937361615713
1013331031123
115721023aa3
122700651103
131345b45bc7
149066d96cb
15530540233
hex31a976453

13331031123 has 16 divisors (see below), whose sum is σ = 18857553920. Its totient is φ = 8353298016.

The previous prime is 13331031113. The next prime is 13331031137. The reversal of 13331031123 is 32113013331.

13331031123 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 13331031123 - 213 = 13331022931 is a prime.

It is a super-2 number, since 2×133310311232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13331031123.

It is not an unprimeable number, because it can be changed into a prime (13331031113) 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 15 ways as a sum of consecutive naturals, for example, 913540 + ... + 928017.

It is an arithmetic number, because the mean of its divisors is an integer number (1178597120).

Almost surely, 213331031123 is an apocalyptic number.

13331031123 is a deficient number, since it is larger than the sum of its proper divisors (5526522797).

13331031123 is a wasteful number, since it uses less digits than its factorization.

13331031123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841706.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13331031123 its reverse (32113013331), we get a palindrome (45444044454).

The spelling of 13331031123 in words is "thirteen billion, three hundred thirty-one million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 19 57 127 381 2413 7239 1841557 5524671 34989583 104968749 233877739 701633217 4443677041 13331031123