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112213032400 = 24527149277971
BaseRepresentation
bin110100010000001101…
…0101111110111010000
3101201122022121200010001
41220200122233313100
53314303014014100
6123314442415344
711051513015650
oct1504032576720
9351568550101
10112213032400
1143653371107
12198b7b01554
13a773b42431
145607094360
152dbb53ad6a
hex1a206afdd0

112213032400 has 240 divisors, whose sum is σ = 311613091200. Its totient is φ = 38037657600.

The previous prime is 112213032391. The next prime is 112213032401. The reversal of 112213032400 is 4230312211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213032401) 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, 115563915 + ... + 115564885.

It is an arithmetic number, because the mean of its divisors is an integer number (1298387880).

Almost surely, 2112213032400 is an apocalyptic number.

112213032400 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 112213032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806545600).

112213032400 is an abundant number, since it is smaller than the sum of its proper divisors (199400058800).

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

112213032400 is a wasteful number, since it uses less digits than its factorization.

112213032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 112213032400 its reverse (4230312211), we get a palindrome (116443344611).

The spelling of 112213032400 in words is "one hundred twelve billion, two hundred thirteen million, thirty-two thousand, four hundred".