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12314112 = 2938017
BaseRepresentation
bin101110111110…
…011000000000
3212011121210020
4232332120000
511123022422
61115533440
7206445126
oct56763000
925147706
1012314112
116a50858
12415a280
132721c75
1418c7916
15113395c
hexbbe600

12314112 has 40 divisors (see below), whose sum is σ = 32809656. Its totient is φ = 4104192.

The previous prime is 12314083. The next prime is 12314123. The reversal of 12314112 is 21141321.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12314091 and 12314100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2473 + ... + 5544.

Almost surely, 212314112 is an apocalyptic number.

12314112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12314112 is an abundant number, since it is smaller than the sum of its proper divisors (20495544).

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

12314112 is an frugal number, since it uses more digits than its factorization.

12314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8022 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 12314112 is about 3509.1469048759. The cubic root of 12314112 is about 230.9232705564.

Adding to 12314112 its reverse (21141321), we get a palindrome (33455433).

The spelling of 12314112 in words is "twelve million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 8017 16034 24051 32068 48102 64136 96204 128272 192408 256544 384816 513088 769632 1026176 1539264 2052352 3078528 4104704 6157056 12314112