Search a number
-
+
2300300310041 is a prime number
BaseRepresentation
bin100001011110010100100…
…101010011011000011001
322010220110212212012122022
4201132110211103120121
5300142003334410131
64520424322504225
7325122405011036
oct41362445233031
98126425765568
102300300310041
118076086134a8
12311991b05075
13138bc066bc16
147d49984638d
153ec81c0c37b
hex21794953619

2300300310041 has 2 divisors, whose sum is σ = 2300300310042. Its totient is φ = 2300300310040.

The previous prime is 2300300310037. The next prime is 2300300310047. The reversal of 2300300310041 is 1400130030032.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1257042350041 + 1043257960000 = 1121179^2 + 1021400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300300310041 - 22 = 2300300310037 is a prime.

It is not a weakly prime, because it can be changed into another prime (2300300310047) 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, 1150150155020 + 1150150155021.

It is an arithmetic number, because the mean of its divisors is an integer number (1150150155021).

Almost surely, 22300300310041 is an apocalyptic number.

It is an amenable number.

2300300310041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300300310041 is an equidigital number, since it uses as much as digits as its factorization.

2300300310041 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.

Adding to 2300300310041 its reverse (1400130030032), we get a palindrome (3700430340073).

The spelling of 2300300310041 in words is "two trillion, three hundred billion, three hundred million, three hundred ten thousand, forty-one".