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11000011011000 = 23353112609127763
BaseRepresentation
bin1010000000010010001110…
…1111111011001110111000
31102221120221200101002120020
42200010203233323032320
52420211010304323000
635221200231330440
72213503345603344
oct240044357731670
942846850332506
1011000011011000
11356109549a710
121297a61520a20
1361a3b17aab3b
142a0590c00624
15141207631ba0
hexa0123bfb3b8

11000011011000 has 256 divisors, whose sum is σ = 37454680972800. Its totient is φ = 2665626368000.

The previous prime is 11000011010977. The next prime is 11000011011019. The reversal of 11000011011000 is 11011000011.

11000011011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11000011011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86033119 + ... + 86160881.

It is an arithmetic number, because the mean of its divisors is an integer number (146307347550).

Almost surely, 211000011011000 is an apocalyptic number.

11000011011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727340486400).

11000011011000 is an abundant number, since it is smaller than the sum of its proper divisors (26454669961800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000011011000 is a wasteful number, since it uses less digits than its factorization.

11000011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130407 (or 130393 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000011011000 its reverse (11011000011), we get a palindrome (11011022011011).

The spelling of 11000011011000 in words is "eleven trillion, eleven million, eleven thousand".