Search a number
-
+
301122130349 is a prime number
BaseRepresentation
bin1000110000111000100…
…01110001000110101101
31001210020201102011012102
410120130101301012231
514413144231132344
6350200020144445
730520041606365
oct4303421610655
91053221364172
10301122130349
11106783657457
124a439238125
132251b45a571
14108081a19a5
157c75e66e4e
hex461c4711ad

301122130349 has 2 divisors, whose sum is σ = 301122130350. Its totient is φ = 301122130348.

The previous prime is 301122130327. The next prime is 301122130367. The reversal of 301122130349 is 943031221103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290009175625 + 11112954724 = 538525^2 + 105418^2 .

It is a cyclic number.

It is not a de Polignac number, because 301122130349 - 228 = 300853694893 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301122136349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150561065174 + 150561065175.

It is an arithmetic number, because the mean of its divisors is an integer number (150561065175).

Almost surely, 2301122130349 is an apocalyptic number.

It is an amenable number.

301122130349 is a deficient number, since it is larger than the sum of its proper divisors (1).

301122130349 is an equidigital number, since it uses as much as digits as its factorization.

301122130349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 301122130349 in words is "three hundred one billion, one hundred twenty-two million, one hundred thirty thousand, three hundred forty-nine".