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130023 = 3214447
BaseRepresentation
bin11111101111100111
320121100200
4133233213
513130043
62441543
71051035
oct375747
9217320
10130023
1189763
12632b3
134724a
1435555
15287d3
hex1fbe7

130023 has 6 divisors (see below), whose sum is σ = 187824. Its totient is φ = 86676.

The previous prime is 130021. The next prime is 130027. The reversal of 130023 is 320031.

It is a happy number.

It is not a de Polignac number, because 130023 - 21 = 130021 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: 14447 = 130023 / (1 + 3 + 0 + 0 + 2 + 3).

130023 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 129987 and 130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021) 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, 7215 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (31304).

2130023 is an apocalyptic number.

130023 is a deficient number, since it is larger than the sum of its proper divisors (57801).

130023 is a wasteful number, since it uses less digits than its factorization.

130023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130023 is about 360.5870213971. The cubic root of 130023 is about 50.6609575362.

Adding to 130023 its reverse (320031), we get a palindrome (450054).

The spelling of 130023 in words is "one hundred thirty thousand, twenty-three".

Divisors: 1 3 9 14447 43341 130023