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6301 is a prime number
BaseRepresentation
bin1100010011101
322122101
41202131
5200201
645101
724241
oct14235
98571
106301
114809
123791
132b39
142421
151d01
hex189d

6301 has 2 divisors, whose sum is σ = 6302. Its totient is φ = 6300.

The previous prime is 6299. The next prime is 6311. The reversal of 6301 is 1036.

Adding to 6301 its reverse (1036), we get a palindrome (7337).

It is an a-pointer prime, because the next prime (6311) can be obtained adding 6301 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 676 = 75^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 6301 - 21 = 6299 is a prime.

Together with 6299, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

6301 is a lucky number.

It is equal to p820 and since 6301 and 820 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3150 + 3151.

It is an arithmetic number, because the mean of its divisors is an integer number (3151).

26301 is an apocalyptic number.

6301 is the 36-th centered decagonal number.

It is an amenable number.

6301 is a deficient number, since it is larger than the sum of its proper divisors (1).

6301 is an equidigital number, since it uses as much as digits as its factorization.

6301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 6301 is about 79.3788384899. The cubic root of 6301 is about 18.4701246564.

The spelling of 6301 in words is "six thousand, three hundred one".