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112110317424 = 24327537972633
BaseRepresentation
bin110100001101001001…
…0111010111101110000
3101201101011100012122200
41220122102322331300
53314100220124144
6123300333103200
711046124655250
oct1503222727560
9351334305580
10112110317424
11436003958a6
1219889627b00
13a75878ac41
1455d7597960
152db24ebc69
hex1a1a4baf70

112110317424 has 240 divisors, whose sum is σ = 365937953472. Its totient is φ = 31375798272.

The previous prime is 112110317419. The next prime is 112110317479. The reversal of 112110317424 is 424713011211.

It is a happy number.

112110317424 is a `hidden beast` number, since 1 + 121 + 103 + 17 + 424 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42577612 + ... + 42580244.

Almost surely, 2112110317424 is an apocalyptic number.

112110317424 is a gapful number since it is divisible by the number (14) 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 112110317424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182968976736).

112110317424 is an abundant number, since it is smaller than the sum of its proper divisors (253827636048).

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

112110317424 is a wasteful number, since it uses less digits than its factorization.

112110317424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 112110317424 its reverse (424713011211), we get a palindrome (536823328635).

The spelling of 112110317424 in words is "one hundred twelve billion, one hundred ten million, three hundred seventeen thousand, four hundred twenty-four".