Search a number
-
+
130117013 = 1331322871
BaseRepresentation
bin1111100000101…
…10110110010101
3100001211121222122
413300112312111
5231302221023
620524505325
73136655615
oct760266625
9301747878
10130117013
11674a1924
12376ab245
1320c59b20
14133d0a45
15b6532c8
hex7c16d95

130117013 has 8 divisors (see below), whose sum is σ = 144646656. Its totient is φ = 116233200.

The previous prime is 130116989. The next prime is 130117027. The reversal of 130117013 is 310711031.

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 130117013 - 26 = 130116949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130116982 and 130117000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130117063) 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, 161033 + ... + 161838.

It is an arithmetic number, because the mean of its divisors is an integer number (18080832).

Almost surely, 2130117013 is an apocalyptic number.

130117013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130117013 is a deficient number, since it is larger than the sum of its proper divisors (14529643).

130117013 is a wasteful number, since it uses less digits than its factorization.

130117013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322915.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 130117013 is about 11406.8844563272. The cubic root of 130117013 is about 506.7316471271.

Adding to 130117013 its reverse (310711031), we get a palindrome (440828044).

The spelling of 130117013 in words is "one hundred thirty million, one hundred seventeen thousand, thirteen".

Divisors: 1 13 31 403 322871 4197323 10009001 130117013