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112332132 = 223211331857
BaseRepresentation
bin1101011001000…
…00110101100100
321211101001201100
412230200311210
5212224112012
615051400100
72532543633
oct654406544
9254331640
10112332132
1158454880
1231753030
131a370a23
1410cc151a
159cdd8dc
hex6b20d64

112332132 has 72 divisors (see below), whose sum is σ = 311062752. Its totient is φ = 33897600.

The previous prime is 112332119. The next prime is 112332139. The reversal of 112332132 is 231233211.

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 (112332139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130648 + ... + 131504.

It is an arithmetic number, because the mean of its divisors is an integer number (4320316).

Almost surely, 2112332132 is an apocalyptic number.

112332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155531376).

112332132 is an abundant number, since it is smaller than the sum of its proper divisors (198730620).

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

112332132 is a wasteful number, since it uses less digits than its factorization.

112332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 112332132 is about 10598.6853901793. The cubic root of 112332132 is about 482.5044620025.

Adding to 112332132 its reverse (231233211), we get a palindrome (343565343).

The spelling of 112332132 in words is "one hundred twelve million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 331 396 662 857 993 1324 1714 1986 2571 2979 3428 3641 3972 5142 5958 7282 7713 9427 10284 10923 11916 14564 15426 18854 21846 28281 30852 32769 37708 43692 56562 65538 84843 113124 131076 169686 283667 339372 567334 851001 1134668 1702002 2553003 3120337 3404004 5106006 6240674 9361011 10212012 12481348 18722022 28083033 37444044 56166066 112332132