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11001100000107 = 373293315906899
BaseRepresentation
bin1010000000010110010010…
…1010000101101101101011
31102221200202120111110210010
42200011210222011231223
52420220223100000412
635221500252223003
72213542341056610
oct240054452055553
942850676443703
1011001100000107
1135615a4174308
12129810616aa63
1361a5262a4aa9
142a06556b4507
1514126d04033c
hexa0164a85b6b

11001100000107 has 16 divisors (see below), whose sum is σ = 16764091027200. Its totient is φ = 6286151579232.

The previous prime is 11001100000087. The next prime is 11001100000109. The reversal of 11001100000107 is 70100000110011.

It is not a de Polignac number, because 11001100000107 - 26 = 11001100000043 is a prime.

It is a super-2 number, since 2×110011000001072 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11001100000092 and 11001100000101.

It is not an unprimeable number, because it can be changed into a prime (11001100000109) 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, 7261857 + ... + 8645042.

It is an arithmetic number, because the mean of its divisors is an integer number (1047755689200).

Almost surely, 211001100000107 is an apocalyptic number.

11001100000107 is a deficient number, since it is larger than the sum of its proper divisors (5762991027093).

11001100000107 is a wasteful number, since it uses less digits than its factorization.

11001100000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15939842.

The product of its (nonzero) digits is 7, while the sum is 12.

Adding to 11001100000107 its reverse (70100000110011), we get a palindrome (81101100110118).

The spelling of 11001100000107 in words is "eleven trillion, one billion, one hundred million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 7 21 32933 98799 230531 691593 15906899 47720697 111348293 334044879 523861904767 1571585714301 3667033333369 11001100000107