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13312220031 = 32111091233641
BaseRepresentation
bin11000110010111100…
…00101101101111111
31021100202021211211100
430121132011231333
5204230412020111
610040543024143
7650614001055
oct143136055577
937322254740
1013312220031
115711445a40
1226b629b053
131341c8a996
149040001d5
1552da76756
hex319785b7f

13312220031 has 24 divisors (see below), whose sum is σ = 21169296720. Its totient is φ = 7993987200.

The previous prime is 13312220029. The next prime is 13312220063. The reversal of 13312220031 is 13002221331.

It is not a de Polignac number, because 13312220031 - 21 = 13312220029 is a prime.

It is a super-2 number, since 2×133122200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312219986 and 13312220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312220011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606030 + ... + 627611.

It is an arithmetic number, because the mean of its divisors is an integer number (882054030).

Almost surely, 213312220031 is an apocalyptic number.

13312220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312220031 is a deficient number, since it is larger than the sum of its proper divisors (7857076689).

13312220031 is a wasteful number, since it uses less digits than its factorization.

13312220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233767 (or 1233764 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13312220031 its reverse (13002221331), we get a palindrome (26314441362).

The spelling of 13312220031 in words is "thirteen billion, three hundred twelve million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 33 99 109 327 981 1199 3597 10791 1233641 3700923 11102769 13570051 40710153 122130459 134466869 403400607 1210201821 1479135559 4437406677 13312220031