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132117 = 347937
BaseRepresentation
bin100000010000010101
320201020020
4200100111
513211432
62455353
71060116
oct402025
9221206
10132117
1190297
1264559
134819b
143620d
152922c
hex20415

132117 has 8 divisors (see below), whose sum is σ = 180096. Its totient is φ = 86112.

The previous prime is 132113. The next prime is 132137. The reversal of 132117 is 711231.

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

It is not a de Polignac number, because 132117 - 22 = 132113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132096 and 132105.

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 132117.

It is not an unprimeable number, because it can be changed into a prime (132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (22512).

2132117 is an apocalyptic number.

It is an amenable number.

132117 is a deficient number, since it is larger than the sum of its proper divisors (47979).

132117 is an equidigital number, since it uses as much as digits as its factorization.

132117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987.

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

The square root of 132117 is about 363.4790227785. The cubic root of 132117 is about 50.9314727459.

Adding to 132117 its reverse (711231), we get a palindrome (843348).

The spelling of 132117 in words is "one hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 3 47 141 937 2811 44039 132117