Base | Representation |
---|---|
bin | 11000001110010… |
… | …11110100100100 |
3 | 112011101010202001 |
4 | 30013023310210 |
5 | 404010210040 |
6 | 32055255044 |
7 | 5015154016 |
oct | 1407136444 |
9 | 464333661 |
10 | 203210020 |
11 | a4785772 |
12 | 5807a484 |
13 | 3313c420 |
14 | 1cdba1b6 |
15 | 12c9059a |
hex | c1cbd24 |
203210020 has 48 divisors (see below), whose sum is σ = 461709360. Its totient is φ = 74681856.
The previous prime is 203210009. The next prime is 203210071. The reversal of 203210020 is 20012302.
It can be written as a sum of positive squares in 8 ways, for example, as 14092516 + 189117504 = 3754^2 + 13752^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 203209979 and 203210006.
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 15 ways as a sum of consecutive naturals, for example, 57834 + ... + 61246.
It is an arithmetic number, because the mean of its divisors is an integer number (9618945).
Almost surely, 2203210020 is an apocalyptic number.
203210020 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 203210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230854680).
203210020 is an abundant number, since it is smaller than the sum of its proper divisors (258499340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203210020 is a wasteful number, since it uses less digits than its factorization.
203210020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 203210020 is about 14255.1752006070. The cubic root of 203210020 is about 587.9156750441.
Adding to 203210020 its reverse (20012302), we get a palindrome (223222322).
The spelling of 203210020 in words is "two hundred three million, two hundred ten thousand, twenty".
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