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301113313 is a prime number
BaseRepresentation
bin10001111100101…
…001111111100001
3202222121010210221
4101330221333201
51104041111223
645513523041
710314264244
oct2174517741
9688533727
10301113313
11144a74986
1284a13481
134a4ca777
142bdc325b
151b67db5d
hex11f29fe1

301113313 has 2 divisors, whose sum is σ = 301113314. Its totient is φ = 301113312.

The previous prime is 301113287. The next prime is 301113377. The reversal of 301113313 is 313311103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205406224 + 95707089 = 14332^2 + 9783^2 .

It is a cyclic number.

It is not a de Polignac number, because 301113313 - 221 = 299016161 is a prime.

It is not a weakly prime, because it can be changed into another prime (301113713) 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, 150556656 + 150556657.

It is an arithmetic number, because the mean of its divisors is an integer number (150556657).

Almost surely, 2301113313 is an apocalyptic number.

It is an amenable number.

301113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

301113313 is an equidigital number, since it uses as much as digits as its factorization.

301113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 301113313 is about 17352.6168919849. The cubic root of 301113313 is about 670.2600260483.

Adding to 301113313 its reverse (313311103), we get a palindrome (614424416).

The spelling of 301113313 in words is "three hundred one million, one hundred thirteen thousand, three hundred thirteen".