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131067 = 3214563
BaseRepresentation
bin11111111111111011
320122210100
4133333323
513143232
62450443
71054056
oct377773
9218710
10131067
118a522
1263a23
1347871
1435a9d
1528c7c
hex1fffb

131067 has 6 divisors (see below), whose sum is σ = 189332. Its totient is φ = 87372.

The previous prime is 131063. The next prime is 131071. The reversal of 131067 is 760131.

131067 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (131063) and next prime (131071).

It is not a de Polignac number, because 131067 - 22 = 131063 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131067.

It is not an unprimeable number, because it can be changed into a prime (131063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7273 + ... + 7290.

2131067 is an apocalyptic number.

131067 is a deficient number, since it is larger than the sum of its proper divisors (58265).

131067 is a wasteful number, since it uses less digits than its factorization.

131067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131067 is about 362.0317665620. The cubic root of 131067 is about 50.7961877396.

Adding to 131067 its reverse (760131), we get a palindrome (891198).

The spelling of 131067 in words is "one hundred thirty-one thousand, sixty-seven".

Divisors: 1 3 9 14563 43689 131067