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12368886321 = 3112101337367
BaseRepresentation
bin10111000010011111…
…00011101000110001
31011221000020112020210
423201033203220301
5200312413330241
65403204054333
7615340541031
oct134117435061
934830215223
1012368886321
115277a06400
1224923943a9
13122170125c
14854a038c1
154c5d3a316
hex2e13e3a31

12368886321 has 24 divisors (see below), whose sum is σ = 18306937152. Its totient is φ = 7422052000.

The previous prime is 12368886301. The next prime is 12368886329.

12368886321 is nontrivially palindromic in base 10.

12368886321 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 12368886321 - 225 = 12335331889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12368886329) 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, 132021 + ... + 205346.

It is an arithmetic number, because the mean of its divisors is an integer number (762789048).

Almost surely, 212368886321 is an apocalyptic number.

12368886321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12368886321 is a deficient number, since it is larger than the sum of its proper divisors (5938050831).

12368886321 is a wasteful number, since it uses less digits than its factorization.

12368886321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337493 (or 337482 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 12368886321 in words is "twelve billion, three hundred sixty-eight million, eight hundred eighty-six thousand, three hundred twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 36663 337367 1012101 3711037 11133111 34074067 40821407 102222201 122464221 374814737 1124444211 4122962107 12368886321