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131330321 = 1756913577
BaseRepresentation
bin1111101001111…
…11000100010001
3100011010021022222
413310333010101
5232110032241
621010510425
73153201143
oct764770421
9304107288
10131330321
1168150461
1237b95415
1321293165
1413628c93
15b7e2a4b
hex7d3f111

131330321 has 8 divisors (see below), whose sum is σ = 139310280. Its totient is φ = 123378688.

The previous prime is 131330281. The next prime is 131330323. The reversal of 131330321 is 123033131.

It can be written as a sum of positive squares in 4 ways, for example, as 48720400 + 82609921 = 6980^2 + 9089^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131330321 - 218 = 131068177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131330321.

It is not an unprimeable number, because it can be changed into a prime (131330323) 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, 2885 + ... + 16461.

It is an arithmetic number, because the mean of its divisors is an integer number (17413785).

Almost surely, 2131330321 is an apocalyptic number.

It is an amenable number.

131330321 is a deficient number, since it is larger than the sum of its proper divisors (7979959).

131330321 is a wasteful number, since it uses less digits than its factorization.

131330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 131330321 is about 11459.9441970718. The cubic root of 131330321 is about 508.3018245333.

Adding to 131330321 its reverse (123033131), we get a palindrome (254363452).

The spelling of 131330321 in words is "one hundred thirty-one million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 17 569 9673 13577 230809 7725313 131330321