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112323111120 = 243251137383303
BaseRepresentation
bin110100010011011111…
…0101010100011010000
3101201220222202020201200
41220212332222203100
53320014204023440
6123333414031200
711054320456113
oct1504676524320
9351828666650
10112323111120
11436aa516960
1219928948500
13a7908a457c
14561794a57a
152dc6031c30
hex1a26faa8d0

112323111120 has 240 divisors, whose sum is σ = 422634056832. Its totient is φ = 26493834240.

The previous prime is 112323111101. The next prime is 112323111179. The reversal of 112323111120 is 21111323211.

112323111120 is a `hidden beast` number, since 1 + 1 + 232 + 311 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 112323111093 and 112323111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101389 + ... + 484691.

Almost surely, 2112323111120 is an apocalyptic number.

112323111120 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 112323111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211317028416).

112323111120 is an abundant number, since it is smaller than the sum of its proper divisors (310310945712).

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

112323111120 is a wasteful number, since it uses less digits than its factorization.

112323111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383370 (or 383361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112323111120 its reverse (21111323211), we get a palindrome (133434434331).

The spelling of 112323111120 in words is "one hundred twelve billion, three hundred twenty-three million, one hundred eleven thousand, one hundred twenty".