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13107 = 317257
BaseRepresentation
bin11001100110011
3122222110
43030303
5404412
6140403
753133
oct31463
918873
1013107
119936
127703
135c73
144ac3
153d3c
hex3333

13107 has 8 divisors (see below), whose sum is σ = 18576. Its totient is φ = 8192.

The previous prime is 13103. The next prime is 13109. The reversal of 13107 is 70131.

Adding to 13107 its reverse (70131), we get a palindrome (83238).

It can be divided in two parts, 13 and 107, that added together give a triangular number (120 = T15).

13107 is nontrivially palindromic in base 2, base 4 and base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 13-Lehmer number, since φ(13107) divides (13107-1)13.

It is a cyclic number.

It is not a de Polignac number, because 13107 - 22 = 13103 is a prime.

13107 is an undulating number in base 4.

13107 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13092 and 13101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13107.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

In principle, a polygon with 13107 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (2322).

213107 is an apocalyptic number.

13107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13107 is a deficient number, since it is larger than the sum of its proper divisors (5469).

13107 is a wasteful number, since it uses less digits than its factorization.

13107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13107 is about 114.4858069806. The cubic root of 13107 is about 23.5776816678.

The spelling of 13107 in words is "thirteen thousand, one hundred seven".

Divisors: 1 3 17 51 257 771 4369 13107