Base | Representation |
---|---|
bin | 100101100011011001010101… |
… | …1011100100101111010000000 |
3 | 1121022120022020011022202200200 |
4 | 1023012302223130211322000 |
5 | 321243431303111400000 |
6 | 3130311003103045200 |
7 | 126401564004360543 |
oct | 11306625334457200 |
9 | 1538508204282620 |
10 | 330320221200000 |
11 | 96283023489709 |
12 | 3106a3318a0800 |
13 | 112410a8b18265 |
14 | 5b7d82674a85a |
15 | 282c5c11a8500 |
hex | 12c6cab725e80 |
330320221200000 has 1152 divisors, whose sum is σ = 1253841289646400. Its totient is φ = 83234304000000.
The previous prime is 330320221199993. The next prime is 330320221200077. The reversal of 330320221200000 is 2122023033.
It is a happy number.
330320221200000 is a `hidden beast` number, since 330 + 320 + 2 + 2 + 12 + 0 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×3303202212000002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27428393979 + ... + 27428406021.
Almost surely, 2330320221200000 is an apocalyptic number.
330320221200000 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 330320221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626920644823200).
330320221200000 is an abundant number, since it is smaller than the sum of its proper divisors (923521068446400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330320221200000 is a wasteful number, since it uses less digits than its factorization.
330320221200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12508 (or 12473 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 330320221200000 its reverse (2122023033), we get a palindrome (330322343223033).
The spelling of 330320221200000 in words is "three hundred thirty trillion, three hundred twenty billion, two hundred twenty-one million, two hundred thousand".
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