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12031331208 = 2331338999131
BaseRepresentation
bin10110011010001111…
…11000101110001000
31011001111001221200120
423031013320232020
5144120010044313
65305505103240
7604101425241
oct131507705610
934044057616
1012031331208
115114411236
1223b9327b20
1311997b46c0
14821c55cc8
154a63add23
hex2cd1f8b88

12031331208 has 64 divisors (see below), whose sum is σ = 32475643200. Its totient is φ = 3692394240.

The previous prime is 12031331173. The next prime is 12031331209. The reversal of 12031331208 is 80213313021.

12031331208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12031331209) 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, 71803 + ... + 170933.

It is an arithmetic number, because the mean of its divisors is an integer number (507431925).

Almost surely, 212031331208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031331208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237821600).

12031331208 is an abundant number, since it is smaller than the sum of its proper divisors (20444311992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12031331208 is a wasteful number, since it uses less digits than its factorization.

12031331208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99542 (or 99538 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12031331208 its reverse (80213313021), we get a palindrome (92244644229).

The spelling of 12031331208 in words is "twelve billion, thirty-one million, three hundred thirty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 778 1167 1556 2334 3112 4668 5057 9336 10114 15171 20228 30342 40456 60684 99131 121368 198262 297393 396524 594786 793048 1189572 1288703 2379144 2577406 3866109 5154812 7732218 10309624 15464436 30928872 38561959 77123918 115685877 154247836 231371754 308495672 462743508 501305467 925487016 1002610934 1503916401 2005221868 3007832802 4010443736 6015665604 12031331208