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112032202320 = 243253710194127
BaseRepresentation
bin110100001010110100…
…0111011111001010000
3101201011201100112212200
41220111220323321100
53313420220433240
6123244502523200
711044156002363
oct1502550737120
9351151315780
10112032202320
1143570291865
1219867436500
13a74553a79c
1455cb0620da
152daa71b930
hex1a15a3be50

112032202320 has 240 divisors, whose sum is σ = 386883095040. Its totient is φ = 29032252416.

The previous prime is 112032202277. The next prime is 112032202327. The reversal of 112032202320 is 23202230211.

112032202320 is a `hidden beast` number, since 1 + 1 + 20 + 322 + 0 + 2 + 320 = 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 = 112032202293 and 112032202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112032202327) 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, 27144097 + ... + 27148223.

It is an arithmetic number, because the mean of its divisors is an integer number (1612012896).

Almost surely, 2112032202320 is an apocalyptic number.

112032202320 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 112032202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193441547520).

112032202320 is an abundant number, since it is smaller than the sum of its proper divisors (274850892720).

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

112032202320 is a wasteful number, since it uses less digits than its factorization.

112032202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5193 counting only the distinct ones).

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

Adding to 112032202320 its reverse (23202230211), we get a palindrome (135234432531).

The spelling of 112032202320 in words is "one hundred twelve billion, thirty-two million, two hundred two thousand, three hundred twenty".