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112316688 = 243211174397
BaseRepresentation
bin1101011000111…
…01000100010000
321211100021112100
412230131010100
5212223113223
615051200400
72532450621
oct654350420
9254307470
10112316688
1158444210
1231746100
131a3669a3
1410cb9a48
159cd9043
hex6b1d110

112316688 has 240 divisors, whose sum is σ = 375350976. Its totient is φ = 30965760.

The previous prime is 112316663. The next prime is 112316713. The reversal of 112316688 is 886613211.

It is an interprime number because it is at equal distance from previous prime (112316663) and next prime (112316713).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 47 ways as a sum of consecutive naturals, for example, 1157856 + ... + 1157952.

Almost surely, 2112316688 is an apocalyptic number.

112316688 is a gapful number since it is divisible by the number (18) 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 112316688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

112316688 is an abundant number, since it is smaller than the sum of its proper divisors (263034288).

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

112316688 is a wasteful number, since it uses less digits than its factorization.

112316688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 112316688 is about 10597.9567842108. The cubic root of 112316688 is about 482.4823485896.

Adding to 112316688 its reverse (886613211), we get a palindrome (998929899).

The spelling of 112316688 in words is "one hundred twelve million, three hundred sixteen thousand, six hundred eighty-eight".