Base | Representation |
---|---|
bin | 100110001110… |
… | …110001111101 |
3 | 200212011121200 |
4 | 212032301331 |
5 | 10031201023 |
6 | 554450113 |
7 | 151120461 |
oct | 46166175 |
9 | 20764550 |
10 | 10022013 |
11 | 5725761 |
12 | 3433939 |
13 | 20cb8b1 |
14 | 148c4a1 |
15 | d2e743 |
hex | 98ec7d |
10022013 has 6 divisors (see below), whose sum is σ = 14476254. Its totient is φ = 6681336.
The previous prime is 10022011. The next prime is 10022017. The reversal of 10022013 is 31022001.
It is a happy number.
10022013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 9018009 + 1004004 = 3003^2 + 1002^2 .
It is not a de Polignac number, because 10022013 - 21 = 10022011 is a prime.
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: 1113557 = 10022013 / (1 + 0 + 0 + 2 + 2 + 0 + 1 + 3).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 10021986 and 10022004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022011) 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, 556770 + ... + 556787.
It is an arithmetic number, because the mean of its divisors is an integer number (2412709).
Almost surely, 210022013 is an apocalyptic number.
It is an amenable number.
10022013 is a deficient number, since it is larger than the sum of its proper divisors (4454241).
10022013 is a wasteful number, since it uses less digits than its factorization.
10022013 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1113563 (or 1113560 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 10022013 is about 3165.7563077407. The cubic root of 10022013 is about 215.6014383833.
Subtracting from 10022013 its product of nonzero digits (12), we obtain a palindrome (10022001).
Adding to 10022013 its reverse (31022001), we get a palindrome (41044014).
The spelling of 10022013 in words is "ten million, twenty-two thousand, thirteen".
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