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305113 is a prime number
BaseRepresentation
bin1001010011111011001
3120111112111
41022133121
534230423
610312321
72410354
oct1123731
9514474
10305113
11199266
121286a1
13a8b53
147d29b
156060d
hex4a7d9

305113 has 2 divisors, whose sum is σ = 305114. Its totient is φ = 305112.

The previous prime is 305111. The next prime is 305119. The reversal of 305113 is 311503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233289 + 71824 = 483^2 + 268^2 .

It is a cyclic number.

It is not a de Polignac number, because 305113 - 21 = 305111 is a prime.

Together with 305111, it forms a pair of twin primes.

305113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 305093 and 305102.

It is not a weakly prime, because it can be changed into another prime (305111) 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, 152556 + 152557.

It is an arithmetic number, because the mean of its divisors is an integer number (152557).

2305113 is an apocalyptic number.

It is an amenable number.

305113 is a deficient number, since it is larger than the sum of its proper divisors (1).

305113 is an equidigital number, since it uses as much as digits as its factorization.

305113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 305113 is about 552.3703467783. The cubic root of 305113 is about 67.3214669370.

Adding to 305113 its reverse (311503), we get a palindrome (616616).

The spelling of 305113 in words is "three hundred five thousand, one hundred thirteen".