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300013222121 is a prime number
BaseRepresentation
bin1000101110110100010…
…11100111100011101001
31001200101102210210002022
410113122023213203221
514403411341101441
6345454004314225
730450415211654
oct4273213474351
91050342723068
10300013222121
11106264708278
124a1899a2975
13223a27aac52
1410740bc489b
157c0d92184b
hex45da2e78e9

300013222121 has 2 divisors, whose sum is σ = 300013222122. Its totient is φ = 300013222120.

The previous prime is 300013222097. The next prime is 300013222127. The reversal of 300013222121 is 121222310003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267537217600 + 32476004521 = 517240^2 + 180211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300013222121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 300013222121.

It is not a weakly prime, because it can be changed into another prime (300013222127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150006611060 + 150006611061.

It is an arithmetic number, because the mean of its divisors is an integer number (150006611061).

Almost surely, 2300013222121 is an apocalyptic number.

It is an amenable number.

300013222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

300013222121 is an equidigital number, since it uses as much as digits as its factorization.

300013222121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 300013222121 its reverse (121222310003), we get a palindrome (421235532124).

The spelling of 300013222121 in words is "three hundred billion, thirteen million, two hundred twenty-two thousand, one hundred twenty-one".