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112110022200 = 233521137459091
BaseRepresentation
bin110100001101001000…
…1110010111000111000
3101201101010210012200110
41220122101302320320
53314100131202300
6123300322504320
711046122315451
oct1503221627070
9351333705613
10112110022200
1143600204010
12198895050a0
13a7586b6757
1455d751c128
152db248e550
hex1a1a472e38

112110022200 has 192 divisors, whose sum is σ = 389383470720. Its totient is φ = 26443584000.

The previous prime is 112110022183. The next prime is 112110022201. The reversal of 112110022200 is 2220011211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14655 + ... + 473745.

It is an arithmetic number, because the mean of its divisors is an integer number (2028038910).

Almost surely, 2112110022200 is an apocalyptic number.

112110022200 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 112110022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194691735360).

112110022200 is an abundant number, since it is smaller than the sum of its proper divisors (277273448520).

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

112110022200 is a wasteful number, since it uses less digits than its factorization.

112110022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459158 (or 459149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112110022200 its reverse (2220011211), we get a palindrome (114330033411).

The spelling of 112110022200 in words is "one hundred twelve billion, one hundred ten million, twenty-two thousand, two hundred".