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130117 = 1310009
BaseRepresentation
bin11111110001000101
320121111011
4133301011
513130432
62442221
71051231
oct376105
9217434
10130117
1189839
1263371
13472c0
14355c1
1528847
hex1fc45

130117 has 4 divisors (see below), whose sum is σ = 140140. Its totient is φ = 120096.

The previous prime is 130099. The next prime is 130121. The reversal of 130117 is 711031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 711031 = 3172243.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 43681 = 294^2 + 209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 10009 = 130117 / (1 + 3 + 0 + 1 + 1 + 7).

130117 is a modest number, since divided by 117 gives 13 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 130097 and 130106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4992 + ... + 5017.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2130117 is an apocalyptic number.

It is an amenable number.

130117 is a deficient number, since it is larger than the sum of its proper divisors (10023).

130117 is a wasteful number, since it uses less digits than its factorization.

130117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 130117 is about 360.7173408640. The cubic root of 130117 is about 50.6731630251.

Adding to 130117 its reverse (711031), we get a palindrome (841148).

The spelling of 130117 in words is "one hundred thirty thousand, one hundred seventeen".

Divisors: 1 13 10009 130117