Base | Representation |
---|---|
bin | 111110100101011… |
… | …1010000001101000 |
3 | 12102100112121200100 |
4 | 1331022322001220 |
5 | 13300100323422 |
6 | 544214305400 |
7 | 103016541243 |
oct | 17512720150 |
9 | 5370477610 |
10 | 2100011112 |
11 | 988446481 |
12 | 4a7358260 |
13 | 2760c2c34 |
14 | 15cc9025a |
15 | c456a7ac |
hex | 7d2ba068 |
2100011112 has 24 divisors (see below), whose sum is σ = 5687530290. Its totient is φ = 700003680.
The previous prime is 2100011093. The next prime is 2100011117. The reversal of 2100011112 is 2111100012.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 2035272996 + 64738116 = 45114^2 + 8046^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2100011094 and 2100011103.
It is not an unprimeable number, because it can be changed into a prime (2100011117) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14583339 + ... + 14583482.
Almost surely, 22100011112 is an apocalyptic number.
It is an amenable number.
2100011112 is an abundant number, since it is smaller than the sum of its proper divisors (3587519178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100011112 is a wasteful number, since it uses less digits than its factorization.
2100011112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29166833 (or 29166826 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 2100011112 is about 45825.8781912578. The cubic root of 2100011112 is about 1280.5814236812.
Adding to 2100011112 its reverse (2111100012), we get a palindrome (4211111124).
Subtracting 2100011112 from its reverse (2111100012), we obtain a square (11088900 = 33302).
The spelling of 2100011112 in words is "two billion, one hundred million, eleven thousand, one hundred twelve".
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