Base | Representation |
---|---|
bin | 100110001110… |
… | …010011000001 |
3 | 200212001220100 |
4 | 212032103001 |
5 | 10031120113 |
6 | 554433013 |
7 | 151111632 |
oct | 46162301 |
9 | 20761810 |
10 | 10020033 |
11 | 5724221 |
12 | 3432769 |
13 | 20caa1a |
14 | 148b889 |
15 | d2dd73 |
hex | 98e4c1 |
10020033 has 6 divisors (see below), whose sum is σ = 14473394. Its totient is φ = 6680016.
The previous prime is 10020013. The next prime is 10020041. The reversal of 10020033 is 33002001.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 8363664 + 1656369 = 2892^2 + 1287^2 .
It is not a de Polignac number, because 10020033 - 26 = 10019969 is a prime.
It is a super-2 number, since 2×100200332 = 200802122642178, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1113337 = 10020033 / (1 + 0 + 0 + 2 + 0 + 0 + 3 + 3).
It is a Duffinian number.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 10019997 and 10020024.
It is not an unprimeable number, because it can be changed into a prime (10020013) 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, 556660 + ... + 556677.
Almost surely, 210020033 is an apocalyptic number.
It is an amenable number.
10020033 is a deficient number, since it is larger than the sum of its proper divisors (4453361).
10020033 is a wasteful number, since it uses less digits than its factorization.
10020033 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1113343 (or 1113340 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 10020033 is about 3165.4435708128. The cubic root of 10020033 is about 215.5872390082.
Adding to 10020033 its reverse (33002001), we get a palindrome (43022034).
The spelling of 10020033 in words is "ten million, twenty thousand, thirty-three".
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