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131293 is a prime number
BaseRepresentation
bin100000000011011101
320200002201
4200003131
513200133
62451501
71054531
oct400335
9220081
10131293
118a708
1263b91
13479b6
1435bc1
1528d7d
hex200dd

131293 has 2 divisors, whose sum is σ = 131294. Its totient is φ = 131292.

The previous prime is 131267. The next prime is 131297. The reversal of 131293 is 392131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 3844 = 357^2 + 62^2 .

It is an emirp because it is prime and its reverse (392131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131293.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65646 + 65647.

It is an arithmetic number, because the mean of its divisors is an integer number (65647).

2131293 is an apocalyptic number.

It is an amenable number.

131293 is a deficient number, since it is larger than the sum of its proper divisors (1).

131293 is an equidigital number, since it uses as much as digits as its factorization.

131293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 131293 is about 362.3437594329. The cubic root of 131293 is about 50.8253670815.

Subtracting from 131293 its product of digits (162), we obtain a palindrome (131131).

It can be divided in two parts, 131 and 293, that multiplied together give a palindrome (38383).

The spelling of 131293 in words is "one hundred thirty-one thousand, two hundred ninety-three".