Base | Representation |
---|---|
bin | 111011111001110… |
… | …0010101011100100 |
3 | 12012002011120210011 |
4 | 1313303202223210 |
5 | 13104030000400 |
6 | 531241140004 |
7 | 100544501413 |
oct | 16763425344 |
9 | 5162146704 |
10 | 2010000100 |
11 | 941657909 |
12 | 48118a604 |
13 | 260568c94 |
14 | 150d3d47a |
15 | bb6da8ba |
hex | 77ce2ae4 |
2010000100 has 36 divisors (see below), whose sum is σ = 4618274724. Its totient is φ = 756705280.
The previous prime is 2010000089. The next prime is 2010000133. The reversal of 2010000100 is 10000102.
It can be written as a sum of positive squares in 6 ways, for example, as 266603584 + 1743396516 = 16328^2 + 41754^2 .
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 2010000100.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589477 + ... + 592876.
It is an arithmetic number, because the mean of its divisors is an integer number (128285409).
Almost surely, 22010000100 is an apocalyptic number.
2010000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2010000100 is an abundant number, since it is smaller than the sum of its proper divisors (2608274624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010000100 is a wasteful number, since it uses less digits than its factorization.
2010000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1182384 (or 1182377 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 2010000100 is about 44833.0246581691. The cubic root of 2010000100 is about 1262.0174491490.
Adding to 2010000100 its reverse (10000102), we get a palindrome (2020000202).
The spelling of 2010000100 in words is "two billion, ten million, one hundred", and thus it is an aban number.
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