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2220313013 is a prime number
BaseRepresentation
bin1000010001010111…
…0100100110110101
312201201220120212022
42010111310212311
514021400004023
61004153002525
7106010230532
oct20425644665
95651816768
102220313013
11a3a344036
1251b6b3445
13294cc43a9
14170c47d89
15cedd07c8
hex845749b5

2220313013 has 2 divisors, whose sum is σ = 2220313014. Its totient is φ = 2220313012.

The previous prime is 2220313009. The next prime is 2220313049. The reversal of 2220313013 is 3103130222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2013586129 + 206726884 = 44873^2 + 14378^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220313013 - 22 = 2220313009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220312982 and 2220313000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220313003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110156506 + 1110156507.

It is an arithmetic number, because the mean of its divisors is an integer number (1110156507).

Almost surely, 22220313013 is an apocalyptic number.

It is an amenable number.

2220313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220313013 is an equidigital number, since it uses as much as digits as its factorization.

2220313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2220313013 is about 47120.1975059528. The cubic root of 2220313013 is about 1304.5820582433.

Adding to 2220313013 its reverse (3103130222), we get a palindrome (5323443235).

The spelling of 2220313013 in words is "two billion, two hundred twenty million, three hundred thirteen thousand, thirteen".