Search a number
-
+
112344120 = 233257109409
BaseRepresentation
bin1101011001000…
…11110000111000
321211101200011100
412230203300320
5212230002440
615051531400
72532623610
oct654436070
9254350140
10112344120
1158462889
1231759b60
131a376315
1410cc5a40
159ce2230
hex6b23c38

112344120 has 192 divisors, whose sum is σ = 422136000. Its totient is φ = 25380864.

The previous prime is 112344107. The next prime is 112344137. The reversal of 112344120 is 21443211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112344093 and 112344102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 274476 + ... + 274884.

It is an arithmetic number, because the mean of its divisors is an integer number (2198625).

Almost surely, 2112344120 is an apocalyptic number.

112344120 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 112344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211068000).

112344120 is an abundant number, since it is smaller than the sum of its proper divisors (309791880).

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

112344120 is a wasteful number, since it uses less digits than its factorization.

112344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112344120 is about 10599.2509169280. The cubic root of 112344120 is about 482.5216255621.

Adding to 112344120 its reverse (21443211), we get a palindrome (133787331).

Subtracting from 112344120 its reverse (21443211), we obtain a palindrome (90900909).

The spelling of 112344120 in words is "one hundred twelve million, three hundred forty-four thousand, one hundred twenty".