| Base | Representation |
|---|---|
| bin | 10100110111001001… |
| … | …11111101100000000 |
| 3 | 1001220112222002101000 |
| 4 | 22123210333230000 |
| 5 | 140414211213440 |
| 6 | 5051213012000 |
| 7 | 544356201015 |
| oct | 123344775400 |
| 9 | 31815862330 |
| 10 | 11200101120 |
| 11 | 482818a81a |
| 12 | 2206a84000 |
| 13 | 1096518990 |
| 14 | 7836bb70c |
| 15 | 458418730 |
| hex | 29b93fb00 |
11200101120 has 576 divisors, whose sum is σ = 43411616640. Its totient is φ = 2717908992.
The previous prime is 11200101097. The next prime is 11200101179. The reversal of 11200101120 is 2110100211.
It is a happy number.
11200101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43580032 + ... + 43580288.
It is an arithmetic number, because the mean of its divisors is an integer number (75367390).
Almost surely, 211200101120 is an apocalyptic number.
11200101120 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 11200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705808320).
11200101120 is an abundant number, since it is smaller than the sum of its proper divisors (32211515520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11200101120 is a wasteful number, since it uses less digits than its factorization.
11200101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397 (or 377 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 11200101120 its reverse (2110100211), we get a palindrome (13310201331).
Subtracting from 11200101120 its reverse (2110100211), we obtain a palindrome (9090000909).
The spelling of 11200101120 in words is "eleven billion, two hundred million, one hundred one thousand, one hundred twenty".
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