Base | Representation |
---|---|
bin | 1111011111111… |
… | …11110000010100 |
3 | 100001122211020012 |
4 | 13233333300110 |
5 | 231241204140 |
6 | 20522455352 |
7 | 3136113053 |
oct | 757776024 |
9 | 301584205 |
10 | 130022420 |
11 | 67437850 |
12 | 37664558 |
13 | 20c25a58 |
14 | 133a839a |
15 | b635265 |
hex | 7bffc14 |
130022420 has 48 divisors (see below), whose sum is σ = 299388096. Its totient is φ = 47040000.
The previous prime is 130022383. The next prime is 130022423. The reversal of 130022420 is 24220031.
It is a junction number, because it is equal to n+sod(n) for n = 130022395 and 130022404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130022423) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45020 + ... + 47820.
It is an arithmetic number, because the mean of its divisors is an integer number (6237252).
Almost surely, 2130022420 is an apocalyptic number.
130022420 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 130022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149694048).
130022420 is an abundant number, since it is smaller than the sum of its proper divisors (169365676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130022420 is a wasteful number, since it uses less digits than its factorization.
130022420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3032 (or 3030 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 130022420 is about 11402.7373906444. The cubic root of 130022420 is about 506.6088220744.
Adding to 130022420 its reverse (24220031), we get a palindrome (154242451).
The spelling of 130022420 in words is "one hundred thirty million, twenty-two thousand, four hundred twenty".
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