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300013222813 is a prime number
BaseRepresentation
bin1000101110110100010…
…11100111101110011101
31001200101102210211000221
410113122023213232131
514403411341112223
6345454004321341
730450415213663
oct4273213475635
91050342724027
10300013222813
11106264708847
124a1899a3251
13223a27ab365
1410740bc4c33
157c0d921b5d
hex45da2e7b9d

300013222813 has 2 divisors, whose sum is σ = 300013222814. Its totient is φ = 300013222812.

The previous prime is 300013222781. The next prime is 300013222853. The reversal of 300013222813 is 318222310003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298686296484 + 1326926329 = 546522^2 + 36427^2 .

It is a cyclic number.

It is not a de Polignac number, because 300013222813 - 25 = 300013222781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300013222853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150006611406 + 150006611407.

It is an arithmetic number, because the mean of its divisors is an integer number (150006611407).

Almost surely, 2300013222813 is an apocalyptic number.

It is an amenable number.

300013222813 is a deficient number, since it is larger than the sum of its proper divisors (1).

300013222813 is an equidigital number, since it uses as much as digits as its factorization.

300013222813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 300013222813 its reverse (318222310003), we get a palindrome (618235532816).

The spelling of 300013222813 in words is "three hundred billion, thirteen million, two hundred twenty-two thousand, eight hundred thirteen".