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12321101112 = 2333471479479
BaseRepresentation
bin10110111100110010…
…10001010100111000
31011210200022210021020
423132121101110320
5200213200213422
65354335542440
7614220426405
oct133631212470
934720283236
1012321101112
115252a386a1
12247a38aa20
13121483cc98
1484c5252ac
154c1a4b95c
hex2de651538

12321101112 has 32 divisors (see below), whose sum is σ = 30891542400. Its totient is φ = 4095195104.

The previous prime is 12321101099. The next prime is 12321101113. The reversal of 12321101112 is 21110112321.

12321101112 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 2×123211011122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12321101091 and 12321101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321101113) 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 7 ways as a sum of consecutive naturals, for example, 731412 + ... + 748067.

It is an arithmetic number, because the mean of its divisors is an integer number (965360700).

Almost surely, 212321101112 is an apocalyptic number.

12321101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321101112 is an abundant number, since it is smaller than the sum of its proper divisors (18570441288).

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

12321101112 is a wasteful number, since it uses less digits than its factorization.

12321101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479835 (or 1479831 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12321101112 its reverse (21110112321), we get a palindrome (33431213433).

The spelling of 12321101112 in words is "twelve billion, three hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 347 694 1041 1388 2082 2776 4164 8328 1479479 2958958 4438437 5917916 8876874 11835832 17753748 35507496 513379213 1026758426 1540137639 2053516852 3080275278 4107033704 6160550556 12321101112