Base | Representation |
---|---|
bin | 11101101111101000001… |
… | …00101100110100100001 |
3 | 10121200222002022000211002 |
4 | 32313310010230310201 |
5 | 113221030020401032 |
6 | 2101300140201345 |
7 | 133560110463242 |
oct | 16676404546441 |
9 | 3550862260732 |
10 | 1022002122017 |
11 | 364479610908 |
12 | 1460a2539255 |
13 | 754b36b1656 |
14 | 376725bacc9 |
15 | 1b8b8163862 |
hex | edf412cd21 |
1022002122017 has 2 divisors, whose sum is σ = 1022002122018. Its totient is φ = 1022002122016.
The previous prime is 1022002121989. The next prime is 1022002122091. The reversal of 1022002122017 is 7102212002201.
1022002122017 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 can be written as a sum of positive squares in only one way, i.e., 952115383696 + 69886738321 = 975764^2 + 264361^2 .
It is an emirp because it is prime and its reverse (7102212002201) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 1022002122017 - 230 = 1020928380193 is a prime.
It is a super-2 number, since 2×10220021220172 (a number of 25 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1022002122017.
It is not a weakly prime, because it can be changed into another prime (1022002322017) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511001061008 + 511001061009.
It is an arithmetic number, because the mean of its divisors is an integer number (511001061009).
Almost surely, 21022002122017 is an apocalyptic number.
It is an amenable number.
1022002122017 is a deficient number, since it is larger than the sum of its proper divisors (1).
1022002122017 is an equidigital number, since it uses as much as digits as its factorization.
1022002122017 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 224, while the sum is 20.
Adding to 1022002122017 its reverse (7102212002201), we get a palindrome (8124214124218).
The spelling of 1022002122017 in words is "one trillion, twenty-two billion, two million, one hundred twenty-two thousand, seventeen".
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