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11121100000 = 2555111211
BaseRepresentation
bin10100101101101111…
…01000010011100000
31001201001022102012121
422112313220103200
5140234000200000
65035311434024
7542406535033
oct122667502340
931631272177
1011121100000
11479763103a
1221a4525914
13108304815a
14776dd501a
15451510b1a
hex296de84e0

11121100000 has 72 divisors (see below), whose sum is σ = 27366826536. Its totient is φ = 4448400000.

The previous prime is 11121099923. The next prime is 11121100009. The reversal of 11121100000 is 112111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44395 + ... + 155605.

It is an arithmetic number, because the mean of its divisors is an integer number (380094813).

Almost surely, 211121100000 is an apocalyptic number.

11121100000 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 11121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683413268).

11121100000 is an abundant number, since it is smaller than the sum of its proper divisors (16245726536).

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

11121100000 is an frugal number, since it uses more digits than its factorization.

11121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111246 (or 111218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11121100000 its reverse (112111), we get a palindrome (11121212111).

The spelling of 11121100000 in words is "eleven billion, one hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 111211 222422 444844 556055 889688 1112110 1779376 2224220 2780275 3558752 4448440 5560550 8896880 11121100 13901375 17793760 22242200 27802750 44484400 55605500 69506875 88968800 111211000 139013750 222422000 278027500 347534375 444844000 556055000 695068750 1112110000 1390137500 2224220000 2780275000 5560550000 11121100000