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11200113211 = 72265786027
BaseRepresentation
bin10100110111001010…
…00010101000111011
31001220112222200221211
422123211002220323
5140414212110321
65051213143551
7544356251200
oct123345025073
931815880854
1011200113211
114828198911
122206a8abb7
131096521331
147836c1ca7
1545841c0e1
hex29b942a3b

11200113211 has 12 divisors (see below), whose sum is σ = 13033758168. Its totient is φ = 9596372352.

The previous prime is 11200113167. The next prime is 11200113251. The reversal of 11200113211 is 11231100211.

It is a happy number.

11200113211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11200113211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11200113191 and 11200113200.

It is not an unprimeable number, because it can be changed into a prime (11200113251) 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 11 ways as a sum of consecutive naturals, for example, 87180 + ... + 173206.

It is an arithmetic number, because the mean of its divisors is an integer number (1086146514).

Almost surely, 211200113211 is an apocalyptic number.

11200113211 is a deficient number, since it is larger than the sum of its proper divisors (1833644957).

11200113211 is an equidigital number, since it uses as much as digits as its factorization.

11200113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88698 (or 88691 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11200113211 its reverse (11231100211), we get a palindrome (22431213422).

The spelling of 11200113211 in words is "eleven billion, two hundred million, one hundred thirteen thousand, two hundred eleven".

Divisors: 1 7 49 2657 18599 86027 130193 602189 4215323 228573739 1600016173 11200113211