Base | Representation |
---|---|
bin | 100101100001111000000001… |
… | …0001000101100001101100000 |
3 | 1121021211022202122211200100200 |
4 | 1023003300002020230031200 |
5 | 321232020240341000412 |
6 | 3130031000225145200 |
7 | 126350514552251421 |
oct | 11303600210541540 |
9 | 1537738678750320 |
10 | 330111222203232 |
11 | 96202423a51aa8 |
12 | 3103592448b200 |
13 | 1122747c30a632 |
14 | 5b7367b435648 |
15 | 2826e3cba49dc |
hex | 12c3c0222c360 |
330111222203232 has 144 divisors (see below), whose sum is σ = 947559926149200. Its totient is φ = 109004923846656.
The previous prime is 330111222203209. The next prime is 330111222203237. The reversal of 330111222203232 is 232302222111033.
330111222203232 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 1 + 1 + 222 + 203 + 232 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3301112222032322 (a number of 30 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 330111222203196 and 330111222203205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (330111222203237) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975126348 + ... + 975464820.
It is an arithmetic number, because the mean of its divisors is an integer number (6580277264925).
Almost surely, 2330111222203232 is an apocalyptic number.
330111222203232 is a gapful number since it is divisible by the number (32) 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 330111222203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473779963074600).
330111222203232 is an abundant number, since it is smaller than the sum of its proper divisors (617448703945968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330111222203232 is a wasteful number, since it uses less digits than its factorization.
330111222203232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 370245 (or 370234 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 330111222203232 its reverse (232302222111033), we get a palindrome (562413444314265).
The spelling of 330111222203232 in words is "three hundred thirty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred three thousand, two hundred thirty-two".
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