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130317 = 3112359
BaseRepresentation
bin11111110100001101
320121202120
4133310031
513132232
62443153
71051635
oct376415
9217676
10130317
1189a00
12634b9
1347415
14356c5
152892c
hex1fd0d

130317 has 12 divisors (see below), whose sum is σ = 191520. Its totient is φ = 78760.

The previous prime is 130307. The next prime is 130337. The reversal of 130317 is 713031.

It is not a de Polignac number, because 130317 - 26 = 130253 is a prime.

It is a super-3 number, since 3×1303173 = 6639333367695039, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130296 and 130305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130317.

It is not an unprimeable number, because it can be changed into a prime (130307) 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 in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2130317 is an apocalyptic number.

It is an amenable number.

130317 is a deficient number, since it is larger than the sum of its proper divisors (61203).

130317 is a wasteful number, since it uses less digits than its factorization.

130317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 130317 is about 360.9944597913. The cubic root of 130317 is about 50.6991126050.

Adding to 130317 its reverse (713031), we get a palindrome (843348).

The spelling of 130317 in words is "one hundred thirty thousand, three hundred seventeen".

Divisors: 1 3 11 33 121 359 363 1077 3949 11847 43439 130317