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112022011102200 = 233523971925924419
BaseRepresentation
bin11001011110001000101000…
…001011011100001111111000
3112200122012101120011110220120
4121132020220023130033320
5104140332034320232300
61034130111303053240
732411215602353343
oct3136105013341770
9480565346143816
10112022011102200
113276a2a494a931
1210692748a41220
134a67826a73c54
141d93c73c2145a
15ce3e39cb33a0
hex65e2282dc3f8

112022011102200 has 192 divisors, whose sum is σ = 348175300176000. Its totient is φ = 29794523235840.

The previous prime is 112022011102193. The next prime is 112022011102219. The reversal of 112022011102200 is 2201110220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112022011102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587481591 + ... + 4587506009.

It is an arithmetic number, because the mean of its divisors is an integer number (1813413021750).

Almost surely, 2112022011102200 is an apocalyptic number.

112022011102200 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 112022011102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174087650088000).

112022011102200 is an abundant number, since it is smaller than the sum of its proper divisors (236153289073800).

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

112022011102200 is a wasteful number, since it uses less digits than its factorization.

112022011102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44094 (or 44085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112022011102200 its reverse (2201110220211), we get a palindrome (114223121322411).

The spelling of 112022011102200 in words is "one hundred twelve trillion, twenty-two billion, eleven million, one hundred two thousand, two hundred".