Base | Representation |
---|---|
bin | 111110111010111… |
… | …1110111000100000 |
3 | 12110010210022111211 |
4 | 1331311332320200 |
5 | 13310443200300 |
6 | 545300315504 |
7 | 103214531626 |
oct | 17565767040 |
9 | 5403708454 |
10 | 2111303200 |
11 | 993859386 |
12 | 4ab0a2b94 |
13 | 278547946 |
14 | 16058d516 |
15 | c554b4ba |
hex | 7dd7ee20 |
2111303200 has 144 divisors (see below), whose sum is σ = 5374343520. Its totient is φ = 809216000.
The previous prime is 2111303191. The next prime is 2111303221. The reversal of 2111303200 is 23031112.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934655 + ... + 1935745.
It is an arithmetic number, because the mean of its divisors is an integer number (37321830).
Almost surely, 22111303200 is an apocalyptic number.
2111303200 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 2111303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687171760).
2111303200 is an abundant number, since it is smaller than the sum of its proper divisors (3263040320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2111303200 is a wasteful number, since it uses less digits than its factorization.
2111303200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 2111303200 is about 45948.9194649885. The cubic root of 2111303200 is about 1282.8726173670.
Adding to 2111303200 its reverse (23031112), we get a palindrome (2134334312).
It can be divided in two parts, 2 and 111303200, that multiplied together give a square (222606400 = 149202).
The spelling of 2111303200 in words is "two billion, one hundred eleven million, three hundred three thousand, two hundred".
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