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112314312 = 233211141811
BaseRepresentation
bin1101011000111…
…00011111001000
321211100011021100
412230130133020
5212223024222
615051141400
72532440655
oct654343710
9254304240
10112314312
1158442450
1231744860
131a365896
1410cb8c2c
159cd84ac
hex6b1c7c8

112314312 has 48 divisors (see below), whose sum is σ = 331840080. Its totient is φ = 34034400.

The previous prime is 112314299. The next prime is 112314317. The reversal of 112314312 is 213413211.

112314312 is a `hidden beast` number, since 1 + 1 + 231 + 431 + 2 = 666.

It is a super-2 number, since 2×1123143122 = 25229009360066688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112314317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70114 + ... + 71697.

It is an arithmetic number, because the mean of its divisors is an integer number (6913335).

Almost surely, 2112314312 is an apocalyptic number.

112314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112314312 is an abundant number, since it is smaller than the sum of its proper divisors (219525768).

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

112314312 is a wasteful number, since it uses less digits than its factorization.

112314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141834 (or 141827 counting only the distinct ones).

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

The square root of 112314312 is about 10597.8446865389. The cubic root of 112314312 is about 482.4789463462.

Adding to 112314312 its reverse (213413211), we get a palindrome (325727523).

The spelling of 112314312 in words is "one hundred twelve million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 141811 283622 425433 567244 850866 1134488 1276299 1559921 1701732 2552598 3119842 3403464 4679763 5105196 6239684 9359526 10210392 12479368 14039289 18719052 28078578 37438104 56157156 112314312