Base | Representation |
---|---|
bin | 10010101000001101… |
… | …10100110101010111 |
3 | 221210222122221121001 |
4 | 21110012310311113 |
5 | 130440224310012 |
6 | 4332220204131 |
7 | 502556116402 |
oct | 112406646527 |
9 | 27728587531 |
10 | 10001010007 |
11 | 427234492a |
12 | 1b31399647 |
13 | c34c82101 |
14 | 6ac346d39 |
15 | 3d800c357 |
hex | 2541b4d57 |
10001010007 has 2 divisors, whose sum is σ = 10001010008. Its totient is φ = 10001010006.
The previous prime is 10001009987. The next prime is 10001010043. The reversal of 10001010007 is 70001010001.
10001010007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a weak prime.
It is a cyclic number.
It is not a de Polignac number, because 10001010007 - 223 = 9992621399 is a prime.
It is a super-2 number, since 2×100010100072 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10001009975 and 10001010002.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10001010067) 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, 5000505003 + 5000505004.
It is an arithmetic number, because the mean of its divisors is an integer number (5000505004).
Almost surely, 210001010007 is an apocalyptic number.
10001010007 is a deficient number, since it is larger than the sum of its proper divisors (1).
10001010007 is an equidigital number, since it uses as much as digits as its factorization.
10001010007 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 7, while the sum is 10.
Adding to 10001010007 its reverse (70001010001), we get a palindrome (80002020008).
The spelling of 10001010007 in words is "ten billion, one million, ten thousand, seven".
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