Base | Representation |
---|---|
bin | 101011110111… |
… | …1001111001101 |
3 | 1121021112002100 |
4 | 1113233033031 |
5 | 21342000023 |
6 | 2140545313 |
7 | 366332301 |
oct | 127571715 |
9 | 47245070 |
10 | 23000013 |
11 | 11a8a283 |
12 | 7852239 |
13 | 49c3a9a |
14 | 30a9d01 |
15 | 2044c43 |
hex | 15ef3cd |
23000013 has 12 divisors (see below), whose sum is σ = 34971040. Its totient is φ = 14526216.
The previous prime is 23000011. The next prime is 23000027. The reversal of 23000013 is 31000032.
It is a happy number.
It is not a de Polignac number, because 23000013 - 21 = 23000011 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22999959 and 23000004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67081 + ... + 67422.
Almost surely, 223000013 is an apocalyptic number.
It is an amenable number.
23000013 is a deficient number, since it is larger than the sum of its proper divisors (11971027).
23000013 is a wasteful number, since it uses less digits than its factorization.
23000013 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134528 (or 134525 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 23000013 is about 4795.8328786562. The cubic root of 23000013 is about 284.3867515652.
Adding to 23000013 its reverse (31000032), we get a palindrome (54000045).
The spelling of 23000013 in words is "twenty-three million, thirteen", and thus it is an aban number and an uban number.
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