| Base | Representation |
|---|---|
| bin | 10100110111001001… |
| … | …10001000010100000 |
| 3 | 1001220112212001001210 |
| 4 | 22123210301002200 |
| 5 | 140414202303440 |
| 6 | 5051211430120 |
| 7 | 544355531052 |
| oct | 123344610240 |
| 9 | 31815761053 |
| 10 | 11200041120 |
| 11 | 4828149734 |
| 12 | 2206a55340 |
| 13 | 10964c7588 |
| 14 | 7836a38d2 |
| 15 | 458405a80 |
| hex | 29b9310a0 |
11200041120 has 96 divisors (see below), whose sum is σ = 35391904128. Its totient is φ = 2977215488.
The previous prime is 11200041079. The next prime is 11200041161. The reversal of 11200041120 is 2114000211.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (11200041079) and next prime (11200041161).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 11200041096 and 11200041105.
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 15 ways as a sum of consecutive naturals, for example, 115357 + ... + 188963.
It is an arithmetic number, because the mean of its divisors is an integer number (368665668).
Almost surely, 211200041120 is an apocalyptic number.
11200041120 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 11200041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695952064).
11200041120 is an abundant number, since it is smaller than the sum of its proper divisors (24191863008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11200041120 is a wasteful number, since it uses less digits than its factorization.
11200041120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73942 (or 73934 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 11200041120 its reverse (2114000211), we get a palindrome (13314041331).
The spelling of 11200041120 in words is "eleven billion, two hundred million, forty-one thousand, one hundred twenty".
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