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112730112 = 2133211139
BaseRepresentation
bin1101011100000…
…10000000000000
321212010021122100
412232002000000
5212324330422
615104110400
72536122135
oct656020000
9255107570
10112730112
11586a6890
1231905400
131a47cc11
1410d8658c
159d6b7ac
hex6b82000

112730112 has 168 divisors, whose sum is σ = 357804720. Its totient is φ = 33914880.

The previous prime is 112730081. The next prime is 112730119. The reversal of 112730112 is 211037211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112730119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810939 + ... + 811077.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2112730112 is an apocalyptic number.

112730112 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 112730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902360).

112730112 is an abundant number, since it is smaller than the sum of its proper divisors (245074608).

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

112730112 is a wasteful number, since it uses less digits than its factorization.

112730112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112730112 is about 10617.4437601524. The cubic root of 112730112 is about 483.0736099120.

Adding to 112730112 its reverse (211037211), we get a palindrome (323767323).

The spelling of 112730112 in words is "one hundred twelve million, seven hundred thirty thousand, one hundred twelve".