Base | Representation |
---|---|
bin | 111110111100100… |
… | …0001011101101000 |
3 | 12110012021210210100 |
4 | 1331321001131220 |
5 | 13311144201300 |
6 | 545325345400 |
7 | 103224361350 |
oct | 17571013550 |
9 | 5405253710 |
10 | 2112100200 |
11 | 994253161 |
12 | 4ab408260 |
13 | 278766642 |
14 | 160719b60 |
15 | c5657700 |
hex | 7de41768 |
2112100200 has 144 divisors (see below), whose sum is σ = 8106490080. Its totient is φ = 482762880.
The previous prime is 2112100171. The next prime is 2112100201. The reversal of 2112100200 is 20012112.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (2112100201) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 71214 + ... + 96413.
It is an arithmetic number, because the mean of its divisors is an integer number (56295070).
Almost surely, 22112100200 is an apocalyptic number.
2112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2112100200 is an abundant number, since it is smaller than the sum of its proper divisors (5994389880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112100200 is a wasteful number, since it uses less digits than its factorization.
2112100200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167656 (or 167644 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2112100200 is about 45957.5913206948. The cubic root of 2112100200 is about 1283.0340217621.
Adding to 2112100200 its reverse (20012112), we get a palindrome (2132112312).
The spelling of 2112100200 in words is "two billion, one hundred twelve million, one hundred thousand, two hundred".
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