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112032004320 = 253251917323669
BaseRepresentation
bin110100001010110100…
…0001011100011100000
3101201011200222111021100
41220111220023203200
53313420143114240
6123244454354400
711044154216205
oct1502550134340
9351150874240
10112032004320
1143570167025
121986735ba00
13a74549b622
1455cb00dcac
152daa6cce30
hex1a15a0b8e0

112032004320 has 288 divisors, whose sum is σ = 404774042400. Its totient is φ = 28138033152.

The previous prime is 112032004309. The next prime is 112032004321. The reversal of 112032004320 is 23400230211.

112032004320 is a `hidden beast` number, since 1 + 1 + 20 + 320 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 112032004293 and 112032004302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112032004321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4721446 + ... + 4745114.

It is an arithmetic number, because the mean of its divisors is an integer number (1405465425).

Almost surely, 2112032004320 is an apocalyptic number.

112032004320 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 112032004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202387021200).

112032004320 is an abundant number, since it is smaller than the sum of its proper divisors (292742038080).

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

112032004320 is a wasteful number, since it uses less digits than its factorization.

112032004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112032004320 its reverse (23400230211), we get a palindrome (135432234531).

The spelling of 112032004320 in words is "one hundred twelve billion, thirty-two million, four thousand, three hundred twenty".