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1304113 is a prime number
BaseRepresentation
bin100111110011000110001
32110020220111
410332120301
5313212423
643541321
714041036
oct4763061
92406814
101304113
11810888
1252a841
13368785
1425d38d
151ab60d
hex13e631

1304113 has 2 divisors, whose sum is σ = 1304114. Its totient is φ = 1304112.

The previous prime is 1304111. The next prime is 1304129. The reversal of 1304113 is 3114031.

1304113 = 8072 + 8082.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 652864 + 651249 = 808^2 + 807^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304113 - 21 = 1304111 is a prime.

It is a super-3 number, since 3×13041133 = 6653756864933312691, which contains 333 as substring.

Together with 1304111, it forms a pair of twin primes.

1304113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1304093 and 1304102.

It is not a weakly prime, because it can be changed into another prime (1304111) 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, 652056 + 652057.

It is an arithmetic number, because the mean of its divisors is an integer number (652057).

21304113 is an apocalyptic number.

1304113 is the 808-th centered square number.

It is an amenable number.

1304113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1304113 is an equidigital number, since it uses as much as digits as its factorization.

1304113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1304113 is about 1141.9776705348. The cubic root of 1304113 is about 109.2542671053.

Adding to 1304113 its reverse (3114031), we get a palindrome (4418144).

The spelling of 1304113 in words is "one million, three hundred four thousand, one hundred thirteen".