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130917 = 3172151
BaseRepresentation
bin11111111101100101
320122120210
4133331211
513142132
62450033
71053453
oct377545
9218523
10130917
118a3a6
1263919
1347787
14359d3
1528bcc
hex1ff65

130917 has 12 divisors (see below), whose sum is σ = 186656. Its totient is φ = 81600.

The previous prime is 130873. The next prime is 130927. The reversal of 130917 is 719031.

It is not a de Polignac number, because 130917 - 210 = 129893 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 130893 and 130902.

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 130917.

It is not an unprimeable number, because it can be changed into a prime (130927) 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 11 ways as a sum of consecutive naturals, for example, 792 + ... + 942.

2130917 is an apocalyptic number.

130917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130917 is a deficient number, since it is larger than the sum of its proper divisors (55739).

130917 is a wasteful number, since it uses less digits than its factorization.

130917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 130917 is about 361.8245431145. The cubic root of 130917 is about 50.7768023955.

Adding to 130917 its reverse (719031), we get a palindrome (849948).

It can be divided in two parts, 1309 and 17, that added together give a triangular number (1326 = T51).

The spelling of 130917 in words is "one hundred thirty thousand, nine hundred seventeen".

Divisors: 1 3 17 51 151 289 453 867 2567 7701 43639 130917