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11200112220 = 223511471272843
BaseRepresentation
bin10100110111001010…
…00010011001011100
31001220112222122121010
422123211002121130
5140414212042340
65051213135220
7544356245253
oct123345023134
931815878533
1011200112220
1148281980a0
122206a8a510
131096520a4b
147836c179a
1545841bb80
hex29b94265c

11200112220 has 192 divisors, whose sum is σ = 35226648576. Its totient is φ = 2635557120.

The previous prime is 11200112197. The next prime is 11200112237. The reversal of 11200112220 is 2221100211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200112196 and 11200112205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3938119 + ... + 3940961.

It is an arithmetic number, because the mean of its divisors is an integer number (183472128).

Almost surely, 211200112220 is an apocalyptic number.

11200112220 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 11200112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613324288).

11200112220 is an abundant number, since it is smaller than the sum of its proper divisors (24026536356).

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

11200112220 is a wasteful number, since it uses less digits than its factorization.

11200112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

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

Adding to 11200112220 its reverse (2221100211), we get a palindrome (13421212431).

The spelling of 11200112220 in words is "eleven billion, two hundred million, one hundred twelve thousand, two hundred twenty".