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11000110109 = 971812332689
BaseRepresentation
bin10100011111010100…
…00101110000011101
31001101121122111021112
422033222011300131
5140012012010414
65015310311405
7536410251602
oct121752056035
931347574245
1011000110109
11473530359a
12216bab8565
131063c657c1
14764cdc6a9
15445ab1d3e
hex28fa85c1d

11000110109 has 16 divisors (see below), whose sum is σ = 11227048560. Its totient is φ = 10776084480.

The previous prime is 11000110103. The next prime is 11000110123. The reversal of 11000110109 is 90101100011.

It is a happy number.

11000110109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5899008025 + 5101102084 = 76805^2 + 71422^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000110109 - 28 = 11000109853 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000110093 and 11000110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000110103) 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 15 ways as a sum of consecutive naturals, for example, 4089437 + ... + 4092125.

It is an arithmetic number, because the mean of its divisors is an integer number (701690535).

Almost surely, 211000110109 is an apocalyptic number.

It is an amenable number.

11000110109 is a deficient number, since it is larger than the sum of its proper divisors (226938451).

11000110109 is a wasteful number, since it uses less digits than its factorization.

11000110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 11000110109 in words is "eleven billion, one hundred ten thousand, one hundred nine".

Divisors: 1 97 181 233 2689 17557 22601 42173 260833 486709 626537 4090781 47210773 60774089 113403197 11000110109