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13412312331 = 311149218307
BaseRepresentation
bin11000111110110111…
…11010010100001011
31021121201122001122120
430133123322110023
5204432022443311
610054520222323
7653240526255
oct143733722413
937551561576
1013412312331
11576299a850
12272390a9a3
1313599344b2
14913416cd5
15537748706
hex31f6fa50b

13412312331 has 24 divisors (see below), whose sum is σ = 19641701184. Its totient is φ = 8073678240.

The previous prime is 13412312321. The next prime is 13412312339. The reversal of 13412312331 is 13321321431.

It is not a de Polignac number, because 13412312331 - 211 = 13412310283 is a prime.

It is a super-2 number, since 2×134123123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13412312339) 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, 723480 + ... + 741786.

It is an arithmetic number, because the mean of its divisors is an integer number (818404216).

Almost surely, 213412312331 is an apocalyptic number.

13412312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13412312331 is a deficient number, since it is larger than the sum of its proper divisors (6229388853).

13412312331 is a wasteful number, since it uses less digits than its factorization.

13412312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619 (or 18470 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 13412312331 its reverse (13321321431), we get a palindrome (26733633762).

The spelling of 13412312331 in words is "thirteen billion, four hundred twelve million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 33 149 447 1639 4917 18307 22201 54921 66603 201377 244211 604131 732633 2727743 8183229 30005173 90015519 406433707 1219301121 4470770777 13412312331