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11000000000000 = 21251211
BaseRepresentation
bin1010000000010010001100…
…0101111011000000000000
31102221120220220122200022102
42200010203011323000000
52420211000000000000
635221155155325532
72213503153163324
oct240044305730000
942846826580272
1011000000000000
11356108a259a10
121297a598b08a8
1361a3ac42405b
142a058d575984
151412066a93d5
hexa012317b000

11000000000000 has 338 divisors, whose sum is σ = 29996337866052. Its totient is φ = 4000000000000.

The previous prime is 10999999999943. The next prime is 11000000000039. The reversal of 11000000000000 is 11.

It is a sliding number, since 11000000000000 = 1000000000000 + 10000000000000 and 1/1000000000000 + 1/10000000000000 = 0.0000000000011000000000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11000000000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 999999999995 + ... + 1000000000005.

Almost surely, 211000000000000 is an apocalyptic number.

11000000000000 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 11000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998168933026).

11000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (18996337866052).

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

11000000000000 is an frugal number, since it uses more digits than its factorization.

11000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 11000000000000 its reverse (11), we get a palindrome (11000000000011).

Multiplying 11000000000000 by its reverse (11), we get a square (121000000000000 = 110000002).

11000000000000 divided by its reverse (11) gives a 12-th power (1000000000000 = 1012).

It can be divided in two parts, 1 and 1000000000000, that added together give a palindrome (1000000000001).

The spelling of 11000000000000 in words is "eleven trillion", and thus it is an aban number and an uban number.