Search a number
-
+
300221233181 is a prime number
BaseRepresentation
bin1000101111001101001…
…01000111100000011101
31001200220221012211121122
410113212211013200131
514404323113430211
6345530354540325
730455522243132
oct4274645074035
91050827184548
10300221233181
11106361072041
124a2275976a5
132240690b70c
1410760690589
157c21d0e6db
hex45e694781d

300221233181 has 2 divisors, whose sum is σ = 300221233182. Its totient is φ = 300221233180.

The previous prime is 300221233111. The next prime is 300221233189. The reversal of 300221233181 is 181332122003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259930707556 + 40290525625 = 509834^2 + 200725^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300221233181 is a prime.

It is a super-2 number, since 2×3002212331812 (a number of 24 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 300221233181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300221233189) 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, 150110616590 + 150110616591.

It is an arithmetic number, because the mean of its divisors is an integer number (150110616591).

Almost surely, 2300221233181 is an apocalyptic number.

It is an amenable number.

300221233181 is a deficient number, since it is larger than the sum of its proper divisors (1).

300221233181 is an equidigital number, since it uses as much as digits as its factorization.

300221233181 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 26.

Adding to 300221233181 its reverse (181332122003), we get a palindrome (481553355184).

The spelling of 300221233181 in words is "three hundred billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred eighty-one".