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130361 = 7111693
BaseRepresentation
bin11111110100111001
320121211012
4133310321
513132421
62443305
71052030
oct376471
9217735
10130361
1189a40
1263535
134744a
1435717
152895b
hex1fd39

130361 has 8 divisors (see below), whose sum is σ = 162624. Its totient is φ = 101520.

The previous prime is 130349. The next prime is 130363. The reversal of 130361 is 163031.

Adding to 130361 its reverse (163031), we get a palindrome (293392).

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-130361 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130361.

It is not an unprimeable number, because it can be changed into a prime (130363) 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, 770 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2130361 is an apocalyptic number.

130361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130361 is a deficient number, since it is larger than the sum of its proper divisors (32263).

130361 is a wasteful number, since it uses less digits than its factorization.

130361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 130361 is about 361.0553974115. The cubic root of 130361 is about 50.7048179490.

The spelling of 130361 in words is "one hundred thirty thousand, three hundred sixty-one".

Divisors: 1 7 11 77 1693 11851 18623 130361