Base | Representation |
---|---|
bin | 100010000111000000011101… |
… | …0101101000110010011011000 |
3 | 1110100022121102220211102110000 |
4 | 1010032000322231012103120 |
5 | 303311143342401031300 |
6 | 2542035551434453000 |
7 | 120124316361156033 |
oct | 10416007255062330 |
9 | 1410277386742400 |
10 | 300030220330200 |
11 | 87665113671928 |
12 | 29797a49894160 |
13 | cb549613219c9 |
14 | 541377c23601a |
15 | 24a471b9aac00 |
hex | 110e03ab464d8 |
300030220330200 has 960 divisors, whose sum is σ = 1103329462752000. Its totient is φ = 75455425843200.
The previous prime is 300030220330177. The next prime is 300030220330229. The reversal of 300030220330200 is 2033022030003.
300030220330200 is a `hidden beast` number, since 30 + 0 + 0 + 302 + 2 + 0 + 330 + 2 + 0 + 0 = 666.
It is a super-3 number, since 3×3000302203302003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3965835574 + ... + 3965911226.
It is an arithmetic number, because the mean of its divisors is an integer number (1149301523700).
Almost surely, 2300030220330200 is an apocalyptic number.
300030220330200 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 300030220330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551664731376000).
300030220330200 is an abundant number, since it is smaller than the sum of its proper divisors (803299242421800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300030220330200 is a wasteful number, since it uses less digits than its factorization.
300030220330200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75914 (or 75896 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
Adding to 300030220330200 its reverse (2033022030003), we get a palindrome (302063242360203).
The spelling of 300030220330200 in words is "three hundred trillion, thirty billion, two hundred twenty million, three hundred thirty thousand, two hundred".
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