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11001100000093 = 711713793353833
BaseRepresentation
bin1010000000010110010010…
…1010000101101101011101
31102221200202120111110202121
42200011210222011231131
52420220223100000333
635221500252222541
72213542341056560
oct240054452055535
942850676443677
1011001100000093
1135615a41742a5
12129810616aa51
1361a5262a4a98
142a06556b44d7
1514126d04032d
hexa0164a85b5d

11001100000093 has 16 divisors (see below), whose sum is σ = 12586775533696. Its totient is φ = 9418951226880.

The previous prime is 11001100000087. The next prime is 11001100000109. The reversal of 11001100000093 is 39000000110011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11001100000093 - 213 = 11001099991901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100000043) 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 15 ways as a sum of consecutive naturals, for example, 30914305 + ... + 31268137.

It is an arithmetic number, because the mean of its divisors is an integer number (786673470856).

Almost surely, 211001100000093 is an apocalyptic number.

It is an amenable number.

11001100000093 is a deficient number, since it is larger than the sum of its proper divisors (1585675533603).

11001100000093 is a wasteful number, since it uses less digits than its factorization.

11001100000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358804.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 11001100000093 in words is "eleven trillion, one billion, one hundred million, ninety-three", and thus it is an aban number.

Divisors: 1 7 1171 3793 8197 26551 353833 2476831 4441603 31091221 414338443 1342088569 2900369101 9394619983 1571585714299 11001100000093