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12314003112 = 2332171027821
BaseRepresentation
bin10110111011111100…
…01100011010101000
31011210011222011122100
423131332030122220
5200204341044422
65353523453400
7614103204465
oct133576143250
934704864570
1012314003112
115249a2a884
122477b27260
131213226298
1484b5d866c
154c10e87ac
hex2ddf8c6a8

12314003112 has 24 divisors (see below), whose sum is σ = 33350425290. Its totient is φ = 4104667680.

The previous prime is 12314003081. The next prime is 12314003131. The reversal of 12314003112 is 21130041321.

12314003112 is a `hidden beast` number, since 1 + 231 + 400 + 31 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12306352356 + 7650756 = 110934^2 + 2766^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85513839 + ... + 85513982.

Almost surely, 212314003112 is an apocalyptic number.

12314003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12314003112 is an abundant number, since it is smaller than the sum of its proper divisors (21036422178).

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

12314003112 is a wasteful number, since it uses less digits than its factorization.

12314003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171027833 (or 171027826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12314003112 its reverse (21130041321), we get a palindrome (33444044433).

The spelling of 12314003112 in words is "twelve billion, three hundred fourteen million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 171027821 342055642 513083463 684111284 1026166926 1368222568 1539250389 2052333852 3078500778 4104667704 6157001556 12314003112