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300213011321 is a prime number
BaseRepresentation
bin1000101111001100001…
…01110000001101111001
31001200220100202010100022
410113212011300031321
514404314012330241
6345525502420225
730455362330526
oct4274605601571
91050810663308
10300213011321
11106357466913
124a224891675
1322404cc0302
141075d55014d
157c2123854b
hex45e6170379

300213011321 has 2 divisors, whose sum is σ = 300213011322. Its totient is φ = 300213011320.

The previous prime is 300213011311. The next prime is 300213011323. The reversal of 300213011321 is 123110312003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168806761321 + 131406250000 = 410861^2 + 362500^2 .

It is a cyclic number.

It is not a de Polignac number, because 300213011321 - 214 = 300212994937 is a prime.

Together with 300213011323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 300213011321.

It is not a weakly prime, because it can be changed into another prime (300213011323) 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, 150106505660 + 150106505661.

It is an arithmetic number, because the mean of its divisors is an integer number (150106505661).

Almost surely, 2300213011321 is an apocalyptic number.

It is an amenable number.

300213011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

300213011321 is an equidigital number, since it uses as much as digits as its factorization.

300213011321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 300213011321 its reverse (123110312003), we get a palindrome (423323323324).

The spelling of 300213011321 in words is "three hundred billion, two hundred thirteen million, eleven thousand, three hundred twenty-one".