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11001112209 = 3237103331981
BaseRepresentation
bin10100011111011011…
…11010011010010001
31001101200112101220100
422033231322122101
5140012241042314
65015344003013
7536421624303
oct121755723221
931350471810
1011001112209
11473592847a
122170300469
131064226969
147650bd973
15445c0dc09
hex28fb7a691

11001112209 has 24 divisors (see below), whose sum is σ = 16336277672. Its totient is φ = 7128725760.

The previous prime is 11001112207. The next prime is 11001112219. The reversal of 11001112209 is 90221110011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4025521809 + 6975590400 = 63447^2 + 83520^2 .

It is not a de Polignac number, because 11001112209 - 21 = 11001112207 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001112191 and 11001112200.

It is not an unprimeable number, because it can be changed into a prime (11001112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327999 + ... + 359979.

Almost surely, 211001112209 is an apocalyptic number.

It is an amenable number.

11001112209 is a deficient number, since it is larger than the sum of its proper divisors (5335165463).

11001112209 is a wasteful number, since it uses less digits than its factorization.

11001112209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33054 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11001112209 in words is "eleven billion, one million, one hundred twelve thousand, two hundred nine".

Divisors: 1 3 9 37 111 333 1033 3099 9297 31981 38221 95943 114663 287829 343989 1183297 3549891 10649673 33036373 99109119 297327357 1222345801 3667037403 11001112209