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131347 = 1931223
BaseRepresentation
bin100000000100010011
320200011201
4200010103
513200342
62452031
71054636
oct400423
9220151
10131347
118a757
1264017
1347a28
1435c1d
1528db7
hex20113

131347 has 8 divisors (see below), whose sum is σ = 143360. Its totient is φ = 119880.

The previous prime is 131321. The next prime is 131357. The reversal of 131347 is 743131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

131347 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (131317) 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, 478 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (17920).

2131347 is an apocalyptic number.

131347 is a deficient number, since it is larger than the sum of its proper divisors (12013).

131347 is a wasteful number, since it uses less digits than its factorization.

131347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 252, while the sum is 19.

The square root of 131347 is about 362.4182666478. The cubic root of 131347 is about 50.8323341797.

Subtracting from 131347 its sum of digits (19), we obtain a triangular number (131328 = T512).

Adding to 131347 its reverse (743131), we get a palindrome (874478).

The spelling of 131347 in words is "one hundred thirty-one thousand, three hundred forty-seven".

Divisors: 1 19 31 223 589 4237 6913 131347