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131217 = 3191229
BaseRepresentation
bin100000000010010001
320122222220
4200002101
513144332
62451253
71054362
oct400221
9218886
10131217
118a649
1263b29
1347958
1435b69
1528d2c
hex20091

131217 has 8 divisors (see below), whose sum is σ = 176640. Its totient is φ = 86640.

The previous prime is 131213. The next prime is 131221. The reversal of 131217 is 712131.

131217 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131213) and next prime (131221).

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

It is not a de Polignac number, because 131217 - 22 = 131213 is a prime.

131217 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 131196 and 131205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131217.

It is not an unprimeable number, because it can be changed into a prime (131213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (22080).

2131217 is an apocalyptic number.

It is an amenable number.

131217 is a deficient number, since it is larger than the sum of its proper divisors (45423).

131217 is a wasteful number, since it uses less digits than its factorization.

131217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 42, while the sum is 15.

The square root of 131217 is about 362.2388714647. The cubic root of 131217 is about 50.8155582990.

Adding to 131217 its reverse (712131), we get a palindrome (843348).

The spelling of 131217 in words is "one hundred thirty-one thousand, two hundred seventeen".

Divisors: 1 3 191 229 573 687 43739 131217