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300213313021 is a prime number
BaseRepresentation
bin1000101111001100001…
…10111001110111111101
31001200220101022110012101
410113212012321313331
514404314102004041
6345525513105101
730455365025236
oct4274606716775
91050811273171
10300213313021
11106357652556
124a2249b8191
132240509772b
141075d5cc08d
157c21297b31
hex45e61b9dfd

300213313021 has 2 divisors, whose sum is σ = 300213313022. Its totient is φ = 300213313020.

The previous prime is 300213313019. The next prime is 300213313157. The reversal of 300213313021 is 120313312003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197820352900 + 102392960121 = 444770^2 + 319989^2 .

It is a cyclic number.

It is not a de Polignac number, because 300213313021 - 21 = 300213313019 is a prime.

Together with 300213313019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 300213313021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300213313721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150106656510 + 150106656511.

It is an arithmetic number, because the mean of its divisors is an integer number (150106656511).

Almost surely, 2300213313021 is an apocalyptic number.

It is an amenable number.

300213313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

300213313021 is an equidigital number, since it uses as much as digits as its factorization.

300213313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 300213313021 its reverse (120313312003), we get a palindrome (420526625024).

The spelling of 300213313021 in words is "three hundred billion, two hundred thirteen million, three hundred thirteen thousand, twenty-one".