Base | Representation |
---|---|
bin | 1000001110111011… |
… | …1001111010010000 |
3 | 12201000201021111102 |
4 | 2003232321322100 |
5 | 14011242023440 |
6 | 1003150203532 |
7 | 105524430440 |
oct | 20356717220 |
9 | 5630637442 |
10 | 2210111120 |
11 | a34606218 |
12 | 5181b35a8 |
13 | 292b61979 |
14 | 16d750120 |
15 | ce067b15 |
hex | 83bb9e90 |
2210111120 has 80 divisors (see below), whose sum is σ = 5915038080. Its totient is φ = 752274432.
The previous prime is 2210111063. The next prime is 2210111143. The reversal of 2210111120 is 211110122.
2210111120 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 (80).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63644 + ... + 92036.
It is an arithmetic number, because the mean of its divisors is an integer number (73937976).
Almost surely, 22210111120 is an apocalyptic number.
2210111120 is a gapful number since it is divisible by the number (20) 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 2210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957519040).
2210111120 is an abundant number, since it is smaller than the sum of its proper divisors (3704926960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210111120 is a wasteful number, since it uses less digits than its factorization.
2210111120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28552 (or 28546 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
The square root of 2210111120 is about 47011.8189394965. The cubic root of 2210111120 is about 1302.5808924823.
Adding to 2210111120 its reverse (211110122), we get a palindrome (2421221242).
The spelling of 2210111120 in words is "two billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".
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