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112323120 = 243571337139
BaseRepresentation
bin1101011000111…
…10101000110000
321211100121100120
412230132220300
5212223314440
615051250240
72532505440
oct654365060
9254317316
10112323120
1158449028
1231749980
131a3698b0
1410cbc120
159cdadd0
hex6b1ea30

112323120 has 320 divisors, whose sum is σ = 443304960. Its totient is φ = 22892544.

The previous prime is 112323109. The next prime is 112323139. The reversal of 112323120 is 21323211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112323120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808011 + ... + 808149.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2112323120 is an apocalyptic number.

112323120 is a gapful number since it is divisible by the number (10) 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 112323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

112323120 is an abundant number, since it is smaller than the sum of its proper divisors (330981840).

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

112323120 is a wasteful number, since it uses less digits than its factorization.

112323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112323120 is about 10598.2602345857. The cubic root of 112323120 is about 482.4915584624.

Adding to 112323120 its reverse (21323211), we get a palindrome (133646331).

Subtracting from 112323120 its reverse (21323211), we obtain a palindrome (90999909).

The spelling of 112323120 in words is "one hundred twelve million, three hundred twenty-three thousand, one hundred twenty".