Search a number
-
+
2262404204213 is a prime number
BaseRepresentation
bin100000111011000001110…
…011001000011010110101
322000021122211122120101012
4200323001303020122311
5244031400434013323
64451200101442005
7322311325303346
oct40730163103265
98007584576335
102262404204213
117a253121327a
12306576710305
1313546143bb6a
147b70285a0cd
153dcb4cab678
hex20ec1cc86b5

2262404204213 has 2 divisors, whose sum is σ = 2262404204214. Its totient is φ = 2262404204212.

The previous prime is 2262404204197. The next prime is 2262404204239. The reversal of 2262404204213 is 3124024042622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2174262313444 + 88141890769 = 1474538^2 + 296887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2262404204213 - 24 = 2262404204197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2262404204213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2262404209213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131202102106 + 1131202102107.

It is an arithmetic number, because the mean of its divisors is an integer number (1131202102107).

Almost surely, 22262404204213 is an apocalyptic number.

It is an amenable number.

2262404204213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2262404204213 is an equidigital number, since it uses as much as digits as its factorization.

2262404204213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2262404204213 its reverse (3124024042622), we get a palindrome (5386428246835).

The spelling of 2262404204213 in words is "two trillion, two hundred sixty-two billion, four hundred four million, two hundred four thousand, two hundred thirteen".