| Base | Representation |
|---|---|
| bin | 1111011111111… |
| … | …11001010101100 |
| 3 | 100001122200221000 |
| 4 | 13233333022230 |
| 5 | 231241120022 |
| 6 | 20522440300 |
| 7 | 3136103043 |
| oct | 757771254 |
| 9 | 301580830 |
| 10 | 130020012 |
| 11 | 67435a61 |
| 12 | 37663090 |
| 13 | 20c24925 |
| 14 | 133a755a |
| 15 | b6346ac |
| hex | 7bff2ac |
130020012 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 39004416.
The previous prime is 130019977. The next prime is 130020013. The reversal of 130020012 is 210020031.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 130019976 and 130020003.
It is not an unprimeable number, because it can be changed into a prime (130020013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40689 + ... + 43767.
It is an arithmetic number, because the mean of its divisors is an integer number (3880800).
Almost surely, 2130020012 is an apocalyptic number.
130020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).
130020012 is an abundant number, since it is smaller than the sum of its proper divisors (242536788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130020012 is a wasteful number, since it uses less digits than its factorization.
130020012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3132 (or 3124 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 130020012 is about 11402.6318014746. The cubic root of 130020012 is about 506.6056946097.
Adding to 130020012 its reverse (210020031), we get a palindrome (340040043).
It can be divided in two parts, 1300 and 20012, that added together give a palindrome (21312).
The spelling of 130020012 in words is "one hundred thirty million, twenty thousand, twelve".
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