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11001100000111 = 132397797475921
BaseRepresentation
bin1010000000010110010010…
…1010000101101101101111
31102221200202120111110210021
42200011210222011231233
52420220223100000421
635221500252223011
72213542341056614
oct240054452055557
942850676443707
1011001100000111
1135615a4174311
12129810616aa67
1361a5262a4ab0
142a06556b450b
1514126d040341
hexa0164a85b6f

11001100000111 has 32 divisors (see below), whose sum is σ = 12505585373568. Its totient is φ = 9601126318080.

The previous prime is 11001100000109. The next prime is 11001100000129. The reversal of 11001100000111 is 11100000110011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11001100000111 - 21 = 11001100000109 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11001100000094 and 11001100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100000171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22877431 + ... + 23353351.

It is an arithmetic number, because the mean of its divisors is an integer number (390799542924).

Almost surely, 211001100000111 is an apocalyptic number.

11001100000111 is a deficient number, since it is larger than the sum of its proper divisors (1504485373457).

11001100000111 is a wasteful number, since it uses less digits than its factorization.

11001100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476851.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11001100000111 its reverse (11100000110011), we get a palindrome (22101100110122).

The spelling of 11001100000111 in words is "eleven trillion, one billion, one hundred million, one hundred eleven", and thus it is an aban number.

Divisors: 1 13 23 97 299 797 1261 2231 10361 18331 29003 77309 238303 475921 1005017 1778107 6186973 10946183 23115391 46164337 142300379 379309037 600136381 1061779751 4931017481 8724107851 13803136763 36792976589 113413402063 478308695657 846238461547 11001100000111