Search a number
301013057 is a prime number
BaseRepresentation
bin10001111100010…
…001100001000001
3202222102001021202
4101330101201001
51104024404212
645511430545
710313366042
oct2174214101
9688361252
10301013057
11144a06624
1284985455
134a493c47
142bd988c9
151b65e0c2
hex11f11841

301013057 has 2 divisors, whose sum is σ = 301013058. Its totient is φ = 301013056.

The previous prime is 301012969. The next prime is 301013059. The reversal of 301013057 is 750310103.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198274561 + 102738496 = 14081^2 + 10136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301013057 is a prime.

Together with 301013059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (301013059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150506528 + 150506529.

It is an arithmetic number, because the mean of its divisors is an integer number (150506529).

Almost surely, 2301013057 is an apocalyptic number.

It is an amenable number.

301013057 is a deficient number, since it is larger than the sum of its proper divisors (1).

301013057 is an equidigital number, since it uses as much as digits as its factorization.

301013057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 301013057 is about 17349.7278653009. The cubic root of 301013057 is about 670.1856298598.

The spelling of 301013057 in words is "three hundred one million, thirteen thousand, fifty-seven".