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12321100311 = 313261398393
BaseRepresentation
bin10110111100110010…
…10001001000010111
31011210200022202011120
423132121101020113
5200213200202221
65354335535023
7614220424152
oct133631211027
934720282146
1012321100311
115252a38033
12247a38a473
13121483c800
1484c524c99
154c1a4b5c6
hex2de651217

12321100311 has 24 divisors (see below), whose sum is σ = 18080713296. Its totient is φ = 7457898240.

The previous prime is 12321100303. The next prime is 12321100361. The reversal of 12321100311 is 11300112321.

It is a happy number.

12321100311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12321100311 - 23 = 12321100303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321100361) 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 23 ways as a sum of consecutive naturals, for example, 168270 + ... + 230123.

It is an arithmetic number, because the mean of its divisors is an integer number (753363054).

Almost surely, 212321100311 is an apocalyptic number.

12321100311 is a deficient number, since it is larger than the sum of its proper divisors (5759612985).

12321100311 is a wasteful number, since it uses less digits than its factorization.

12321100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398483 (or 398470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12321100311 its reverse (11300112321), we get a palindrome (23621212632).

The spelling of 12321100311 in words is "twelve billion, three hundred twenty-one million, one hundred thousand, three hundred eleven".

Divisors: 1 3 13 39 61 169 183 507 793 2379 10309 30927 398393 1195179 5179109 15537327 24301973 67328417 72905919 201985251 315925649 947776947 4107033437 12321100311