Search a number
-
+
2220300013 is a prime number
BaseRepresentation
bin1000010001010111…
…0001011011101101
312201201212221000211
42010111301123231
514021344100023
61004152422421
7106010144611
oct20425613355
95651787024
102220300013
11a3a335298
1251b6a7a11
13294cbb4b9
14170c43341
15cedcba0d
hex845716ed

2220300013 has 2 divisors, whose sum is σ = 2220300014. Its totient is φ = 2220300012.

The previous prime is 2220300007. The next prime is 2220300029. The reversal of 2220300013 is 3100030222.

It is a happy number.

2220300013 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., 1413910404 + 806389609 = 37602^2 + 28397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220300013 - 25 = 2220299981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220299966 and 2220300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220300083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110150006 + 1110150007.

It is an arithmetic number, because the mean of its divisors is an integer number (1110150007).

Almost surely, 22220300013 is an apocalyptic number.

It is an amenable number.

2220300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220300013 is an equidigital number, since it uses as much as digits as its factorization.

2220300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2220300013 is about 47120.0595606585. The cubic root of 2220300013 is about 1304.5795121158.

Adding to 2220300013 its reverse (3100030222), we get a palindrome (5320330235).

The spelling of 2220300013 in words is "two billion, two hundred twenty million, three hundred thousand, thirteen".