Base | Representation |
---|---|
bin | 1111100000101… |
… | …01011010000000 |
3 | 100001211022212210 |
4 | 13300111122000 |
5 | 231302023404 |
6 | 20524422120 |
7 | 3136632444 |
oct | 760253200 |
9 | 301738783 |
10 | 130111104 |
11 | 67498442 |
12 | 376a7940 |
13 | 20c57226 |
14 | 133cc824 |
15 | b651689 |
hex | 7c15680 |
130111104 has 64 divisors (see below), whose sum is σ = 350064000. Its totient is φ = 42811392.
The previous prime is 130111073. The next prime is 130111127. The reversal of 130111104 is 401111031.
130111104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 130111104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28192 + ... + 32480.
It is an arithmetic number, because the mean of its divisors is an integer number (5469750).
Almost surely, 2130111104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032000).
130111104 is an abundant number, since it is smaller than the sum of its proper divisors (219952896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130111104 is an equidigital number, since it uses as much as digits as its factorization.
130111104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4385 (or 4373 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
The square root of 130111104 is about 11406.6254431361. The cubic root of 130111104 is about 506.7239762813.
Adding to 130111104 its reverse (401111031), we get a palindrome (531222135).
The spelling of 130111104 in words is "one hundred thirty million, one hundred eleven thousand, one hundred four".
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