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12031013304 = 23322294311693
BaseRepresentation
bin10110011010001101…
…01011000110111000
31011001110110210121100
423031012223012320
5144114414411204
65305454211400
7604065632352
oct131506530670
934043423540
1012031013304
115114214402
1223b91b3b60
131199702aab
14821bb20d2
154a6349a39
hex2cd1ab1b8

12031013304 has 96 divisors (see below), whose sum is σ = 32821588800. Its totient is φ = 3981208320.

The previous prime is 12031013279. The next prime is 12031013353. The reversal of 12031013304 is 40331013021.

12031013304 is a `hidden beast` number, since 1 + 20 + 310 + 1 + 330 + 4 = 666.

12031013304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120310133042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7105482 + ... + 7107174.

It is an arithmetic number, because the mean of its divisors is an integer number (341891550).

Almost surely, 212031013304 is an apocalyptic number.

It is an amenable number.

12031013304 is an abundant number, since it is smaller than the sum of its proper divisors (20790575496).

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

12031013304 is a wasteful number, since it uses less digits than its factorization.

12031013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2358 counting only the distinct ones).

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

Adding to 12031013304 its reverse (40331013021), we get a palindrome (52362026325).

The spelling of 12031013304 in words is "twelve billion, thirty-one million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 431 458 687 862 916 1293 1374 1693 1724 1832 2061 2586 2748 3386 3448 3879 4122 5079 5172 5496 6772 7758 8244 10158 10344 13544 15237 15516 16488 20316 30474 31032 40632 60948 98699 121896 197398 296097 387697 394796 592194 729683 775394 789592 888291 1163091 1184388 1459366 1550788 1776582 2189049 2326182 2368776 2918732 3101576 3489273 3553164 4378098 4652364 5837464 6567147 6978546 7106328 8756196 9304728 13134294 13957092 17512392 26268588 27914184 52537176 167097407 334194814 501292221 668389628 1002584442 1336779256 1503876663 2005168884 3007753326 4010337768 6015506652 12031013304