Base | Representation |
---|---|
bin | 111011111111100… |
… | …0010010000011111 |
3 | 12012021211122201220 |
4 | 1313333002100133 |
5 | 13110312404043 |
6 | 531425504423 |
7 | 100612220430 |
oct | 16777022037 |
9 | 5167748656 |
10 | 2013013023 |
11 | 94332552a |
12 | 4821a2113 |
13 | 261082488 |
14 | 1514c5487 |
15 | bbad3483 |
hex | 77fc241f |
2013013023 has 16 divisors (see below), whose sum is σ = 3086991360. Its totient is φ = 1142964576.
The previous prime is 2013013021. The next prime is 2013013031. The reversal of 2013013023 is 3203103102.
It is not a de Polignac number, because 2013013023 - 21 = 2013013021 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2013012993 and 2013013011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2013013021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301983 + ... + 308576.
It is an arithmetic number, because the mean of its divisors is an integer number (192936960).
Almost surely, 22013013023 is an apocalyptic number.
2013013023 is a deficient number, since it is larger than the sum of its proper divisors (1073978337).
2013013023 is a wasteful number, since it uses less digits than its factorization.
2013013023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 610726.
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 2013013023 is about 44866.6136787701. The cubic root of 2013013023 is about 1262.6477083396.
Adding to 2013013023 its reverse (3203103102), we get a palindrome (5216116125).
It can be divided in two parts, 20130 and 13023, that added together give a triangular number (33153 = T257).
The spelling of 2013013023 in words is "two billion, thirteen million, thirteen thousand, twenty-three".
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