Base | Representation |
---|---|
bin | 1101101001100000001000… |
… | …01010011010001100000100 |
3 | 10221021020120120102220121200 |
4 | 12310300010022122030010 |
5 | 12413214220113131040 |
6 | 143455530440142500 |
7 | 6215250404525331 |
oct | 664600412321404 |
9 | 127236516386550 |
10 | 30013301302020 |
11 | 962162a15a143 |
12 | 3448941a67a30 |
13 | 139931c07656a |
14 | 75a919b47988 |
15 | 370aac8e5630 |
hex | 1b4c0429a304 |
30013301302020 has 576 divisors, whose sum is σ = 95841011657664. Its totient is φ = 7594830397440.
The previous prime is 30013301302009. The next prime is 30013301302021. The reversal of 30013301302020 is 2020310331003.
30013301302020 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 330 + 130 + 202 + 0 = 666.
It can be written as a sum of positive squares in 32 ways, for example, as 28286910279936 + 1726391022084 = 5318544^2 + 1313922^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 30013301301984 and 30013301302002.
It is not an unprimeable number, because it can be changed into a prime (30013301302021) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29628135034 + ... + 29628136046.
It is an arithmetic number, because the mean of its divisors is an integer number (166390645239).
Almost surely, 230013301302020 is an apocalyptic number.
30013301302020 is a gapful number since it is divisible by the number (30) 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 30013301302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47920505828832).
30013301302020 is an abundant number, since it is smaller than the sum of its proper divisors (65827710355644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30013301302020 is a wasteful number, since it uses less digits than its factorization.
30013301302020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 30013301302020 its reverse (2020310331003), we get a palindrome (32033611633023).
The spelling of 30013301302020 in words is "thirty trillion, thirteen billion, three hundred one million, three hundred two thousand, twenty".
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