Search a number
-
+
130100113 = 1113909791
BaseRepresentation
bin1111100000100…
…10101110010001
3100001210202210201
413300102232101
5231301200423
620524255201
73136555423
oct760225621
9301722721
10130100113
1167490160
12376a1501
1320c52220
14133c8813
15b64d2ad
hex7c12b91

130100113 has 8 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 109174800.

The previous prime is 130100101. The next prime is 130100171. The reversal of 130100113 is 311001031.

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 130100113 - 213 = 130091921 is a prime.

It is a super-2 number, since 2×1301001132 = 33852078805225538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130100113.

It is not an unprimeable number, because it can be changed into a prime (130160113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454753 + ... + 455038.

It is an arithmetic number, because the mean of its divisors is an integer number (19105632).

Almost surely, 2130100113 is an apocalyptic number.

130100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130100113 is a deficient number, since it is larger than the sum of its proper divisors (22744943).

130100113 is a wasteful number, since it uses less digits than its factorization.

130100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909815.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 130100113 is about 11406.1436515590. The cubic root of 130100113 is about 506.7097075528.

Adding to 130100113 its reverse (311001031), we get a palindrome (441101144).

The spelling of 130100113 in words is "one hundred thirty million, one hundred thousand, one hundred thirteen".

Divisors: 1 11 13 143 909791 10007701 11827283 130100113