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300310021201 is a prime number
BaseRepresentation
bin1000101111010111101…
…11110100010001010001
31001201011010021201212211
410113223313310101101
514410013331134301
6345543245552121
730460651030261
oct4275367642121
91051133251784
10300310021201
111063a71a5873
124a251275641
132241c127ac8
141076c3a37a1
157c299ec051
hex45ebdf4451

300310021201 has 2 divisors, whose sum is σ = 300310021202. Its totient is φ = 300310021200.

The previous prime is 300310021199. The next prime is 300310021243. The reversal of 300310021201 is 102120013003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161720601025 + 138589420176 = 402145^2 + 372276^2 .

It is an emirp because it is prime and its reverse (102120013003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300310021201 - 21 = 300310021199 is a prime.

It is a super-2 number, since 2×3003100212012 (a number of 24 digits) contains 22 as substring.

Together with 300310021199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (300310061201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150155010600 + 150155010601.

It is an arithmetic number, because the mean of its divisors is an integer number (150155010601).

Almost surely, 2300310021201 is an apocalyptic number.

It is an amenable number.

300310021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

300310021201 is an equidigital number, since it uses as much as digits as its factorization.

300310021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 300310021201 its reverse (102120013003), we get a palindrome (402430034204).

The spelling of 300310021201 in words is "three hundred billion, three hundred ten million, twenty-one thousand, two hundred one".