Base | Representation |
---|---|
bin | 111011111111010… |
… | …001101000000101 |
3 | 2121010210121021011 |
4 | 323333101220011 |
5 | 4030122134023 |
6 | 243511322221 |
7 | 33640424122 |
oct | 7377215005 |
9 | 2533717234 |
10 | 1006443013 |
11 | 477124594 |
12 | 241080371 |
13 | 130684a14 |
14 | 97947749 |
15 | 5d55550d |
hex | 3bfd1a05 |
1006443013 has 2 divisors, whose sum is σ = 1006443014. Its totient is φ = 1006443012.
The previous prime is 1006442971. The next prime is 1006443017. The reversal of 1006443013 is 3103446001.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 630160609 + 376282404 = 25103^2 + 19398^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-1006443013 is a prime.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (1006443017) 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 as a sum of consecutive naturals, namely, 503221506 + 503221507.
It is an arithmetic number, because the mean of its divisors is an integer number (503221507).
Almost surely, 21006443013 is an apocalyptic number.
It is an amenable number.
1006443013 is a deficient number, since it is larger than the sum of its proper divisors (1).
1006443013 is an equidigital number, since it uses as much as digits as its factorization.
1006443013 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 864, while the sum is 22.
The square root of 1006443013 is about 31724.4860163250. The cubic root of 1006443013 is about 1002.1430749489.
Adding to 1006443013 its reverse (3103446001), we get a palindrome (4109889014).
The spelling of 1006443013 in words is "one billion, six million, four hundred forty-three thousand, thirteen".
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