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300011221121 is a prime number
BaseRepresentation
bin1000101110110100000…
…11111111000010000001
31001200101022001010020012
410113122003333002001
514403410333033441
6345453453354305
730450362206103
oct4273203770201
91050338033205
10300011221121
11106263570957
124a189198995
13223a225a221
1410740823573
157c0d6789eb
hex45da0ff081

300011221121 has 2 divisors, whose sum is σ = 300011221122. Its totient is φ = 300011221120.

The previous prime is 300011221117. The next prime is 300011221123. The reversal of 300011221121 is 121122110003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299251667521 + 759553600 = 547039^2 + 27560^2 .

It is a cyclic number.

It is not a de Polignac number, because 300011221121 - 22 = 300011221117 is a prime.

Together with 300011221123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 300011221096 and 300011221105.

It is not a weakly prime, because it can be changed into another prime (300011221123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150005610560 + 150005610561.

It is an arithmetic number, because the mean of its divisors is an integer number (150005610561).

Almost surely, 2300011221121 is an apocalyptic number.

It is an amenable number.

300011221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

300011221121 is an equidigital number, since it uses as much as digits as its factorization.

300011221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 300011221121 its reverse (121122110003), we get a palindrome (421133331124).

The spelling of 300011221121 in words is "three hundred billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".