Base | Representation |
---|---|
bin | 1111100010000… |
… | …11100001110100 |
3 | 100002011221000200 |
4 | 13301003201310 |
5 | 231324100040 |
6 | 20532440500 |
7 | 3141350304 |
oct | 761034164 |
9 | 302157020 |
10 | 130300020 |
11 | 67607374 |
12 | 37779130 |
13 | 20cc2206 |
14 | 1343b604 |
15 | b68c630 |
hex | 7c43874 |
130300020 has 72 divisors (see below), whose sum is σ = 396188520. Its totient is φ = 34663680.
The previous prime is 130299989. The next prime is 130300021. The reversal of 130300020 is 20003031.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 127103076 = 1788^2 + 11274^2 .
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 = 130299975 and 130300011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130300021) 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 23 ways as a sum of consecutive naturals, for example, 127110 + ... + 128130.
Almost surely, 2130300020 is an apocalyptic number.
130300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
130300020 is an abundant number, since it is smaller than the sum of its proper divisors (265888500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130300020 is a wasteful number, since it uses less digits than its factorization.
130300020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1745 (or 1740 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 130300020 is about 11414.9034161486. The cubic root of 130300020 is about 506.9691051748.
Adding to 130300020 its reverse (20003031), we get a palindrome (150303051).
The spelling of 130300020 in words is "one hundred thirty million, three hundred thousand, twenty".
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