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130041 = 3214449
BaseRepresentation
bin11111101111111001
320121101100
4133233321
513130131
62442013
71051062
oct375771
9217340
10130041
118977a
1263309
1347262
1435569
15287e6
hex1fbf9

130041 has 6 divisors (see below), whose sum is σ = 187850. Its totient is φ = 86688.

The previous prime is 130027. The next prime is 130043. The reversal of 130041 is 140031.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 441 = 360^2 + 21^2 .

It is not a de Polignac number, because 130041 - 29 = 129529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 14449 = 130041 / (1 + 3 + 0 + 0 + 4 + 1).

It is a Duffinian number.

130041 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130043) 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, 7216 + ... + 7233.

2130041 is an apocalyptic number.

It is an amenable number.

130041 is a deficient number, since it is larger than the sum of its proper divisors (57809).

130041 is a wasteful number, since it uses less digits than its factorization.

130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14455 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130041 is about 360.6119798343. The cubic root of 130041 is about 50.6632952127.

Adding to 130041 its reverse (140031), we get a palindrome (270072).

The spelling of 130041 in words is "one hundred thirty thousand, forty-one".

Divisors: 1 3 9 14449 43347 130041