Base | Representation |
---|---|
bin | 1111100000110… |
… | …00000100100100 |
3 | 100001211212212002 |
4 | 13300120010210 |
5 | 231302401040 |
6 | 20524544432 |
7 | 3140006330 |
oct | 760300444 |
9 | 301755762 |
10 | 130122020 |
11 | 674a5666 |
12 | 376b2118 |
13 | 20c5c1a2 |
14 | 133d27c0 |
15 | b654a15 |
hex | 7c18124 |
130122020 has 48 divisors (see below), whose sum is σ = 315194880. Its totient is φ = 44198784.
The previous prime is 130122019. The next prime is 130122059. The reversal of 130122020 is 20221031.
It is a happy number.
130122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 130121992 and 130122010.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10997 + ... + 19523.
It is an arithmetic number, because the mean of its divisors is an integer number (6566560).
Almost surely, 2130122020 is an apocalyptic number.
130122020 is a gapful number since it is divisible by the number (10) 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 130122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157597440).
130122020 is an abundant number, since it is smaller than the sum of its proper divisors (185072860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130122020 is a wasteful number, since it uses less digits than its factorization.
130122020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8652 (or 8650 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 130122020 is about 11407.1039269396. The cubic root of 130122020 is about 506.7381468481.
Adding to 130122020 its reverse (20221031), we get a palindrome (150343051).
The spelling of 130122020 in words is "one hundred thirty million, one hundred twenty-two thousand, twenty".
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