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12131332304 = 2471317834673
BaseRepresentation
bin10110100110001010…
…10111000011010000
31011022110020112101212
423103011113003100
5144321110113204
65323440315252
7606424423520
oct132305270320
934273215355
1012131332304
115165903573
122426912b28
1311b4428850
14831247680
154b0063c6e
hex2d31570d0

12131332304 has 80 divisors (see below), whose sum is σ = 28950980352. Its totient is φ = 4795490304.

The previous prime is 12131332303. The next prime is 12131332309. The reversal of 12131332304 is 40323313121.

It is a self number, because there is not a number n which added to its sum of digits gives 12131332304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131332303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593712 + ... + 2598384.

Almost surely, 212131332304 is an apocalyptic number.

12131332304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475490176).

12131332304 is an abundant number, since it is smaller than the sum of its proper divisors (16819648048).

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

12131332304 is a wasteful number, since it uses less digits than its factorization.

12131332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12131332304 its reverse (40323313121), we get a palindrome (52454645425).

The spelling of 12131332304 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1783 3566 4673 7132 9346 12481 14264 18692 23179 24962 28528 32711 37384 46358 49924 60749 65422 74768 92716 99848 121498 130844 162253 185432 199696 242996 261688 324506 370864 425243 485992 523376 649012 850486 971984 1298024 1700972 2596048 3401944 6803888 8331959 16663918 33327836 58323713 66655672 108315467 116647426 133311344 216630934 233294852 433261868 466589704 758208269 866523736 933179408 1516416538 1733047472 3032833076 6065666152 12131332304