Base | Representation |
---|---|
bin | 100001011000011… |
… | …0101111100010000 |
3 | 2220001122222111100 |
4 | 1002300311330100 |
5 | 4243221200422 |
6 | 303051344400 |
7 | 36520456665 |
oct | 10260657420 |
9 | 2801588440 |
10 | 1120100112 |
11 | 5252a387a |
12 | 273152100 |
13 | 14b09a841 |
14 | a8a91a6c |
15 | 685067ac |
hex | 42c35f10 |
1120100112 has 60 divisors (see below), whose sum is σ = 3219462220. Its totient is φ = 363273984.
The previous prime is 1120100087. The next prime is 1120100227. The reversal of 1120100112 is 2110010211.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 450118656 + 669981456 = 21216^2 + 25884^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 1120100094 and 1120100103.
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 11 ways as a sum of consecutive naturals, for example, 99787 + ... + 110442.
Almost surely, 21120100112 is an apocalyptic number.
1120100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1120100112 is an abundant number, since it is smaller than the sum of its proper divisors (2099362108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1120100112 is a wasteful number, since it uses less digits than its factorization.
1120100112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210280 (or 210271 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1120100112 is about 33467.8967370225. The cubic root of 1120100112 is about 1038.5297617679.
Adding to 1120100112 its reverse (2110010211), we get a palindrome (3230110323).
The spelling of 1120100112 in words is "one billion, one hundred twenty million, one hundred thousand, one hundred twelve".
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