Base | Representation |
---|---|
bin | 110000011101010100000… |
… | …100111000010111110100 |
3 | 102210100100010201102210121 |
4 | 300131110010320113310 |
5 | 414024330104020040 |
6 | 11025441403501324 |
7 | 462404520562321 |
oct | 60352404702764 |
9 | 12710303642717 |
10 | 3330010220020 |
11 | 1074281a57500 |
12 | 459465827844 |
13 | 1b2031b91643 |
14 | b725d983b48 |
15 | 5b94b899c4a |
hex | 307541385f4 |
3330010220020 has 144 divisors (see below), whose sum is σ = 7868454257664. Its totient is φ = 1182277958400.
The previous prime is 3330010219997. The next prime is 3330010220021. The reversal of 3330010220020 is 200220100333.
It is a super-2 number, since 2×33300102200202 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 3330010219976 and 3330010220003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3330010220021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352862742 + ... + 352872178.
It is an arithmetic number, because the mean of its divisors is an integer number (54642043456).
Almost surely, 23330010220020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3330010220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934227128832).
3330010220020 is an abundant number, since it is smaller than the sum of its proper divisors (4538444037644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3330010220020 is a wasteful number, since it uses less digits than its factorization.
3330010220020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12902 (or 12889 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 3330010220020 its reverse (200220100333), we get a palindrome (3530230320353).
The spelling of 3330010220020 in words is "three trillion, three hundred thirty billion, ten million, two hundred twenty thousand, twenty".
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