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1300313 = 7317223
BaseRepresentation
bin100111101011101011001
32110001200202
410331131121
5313102223
643511545
714024000
oct4753531
92401622
101300313
11808a43
125285b5
13366b21
1425bc37
151aa428
hex13d759

1300313 has 16 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 1044288.

The previous prime is 1300309. The next prime is 1300319. The reversal of 1300313 is 3130031.

It is not a de Polignac number, because 1300313 - 22 = 1300309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1300294 and 1300303.

It is not an unprimeable number, because it can be changed into a prime (1300319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5720 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

21300313 is an apocalyptic number.

It is an amenable number.

1300313 is a deficient number, since it is larger than the sum of its proper divisors (312487).

1300313 is an equidigital number, since it uses as much as digits as its factorization.

1300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1300313 is about 1140.3126764182. The cubic root of 1300313 is about 109.1480467307.

Adding to 1300313 its reverse (3130031), we get a palindrome (4430344).

It can be divided in two parts, 130031 and 3, that multiplied together give a palindrome (390093).

The spelling of 1300313 in words is "one million, three hundred thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 223 343 833 1561 3791 5831 10927 26537 76489 185759 1300313