Base | Representation |
---|---|
bin | 110000001100110110010… |
… | …100000101011011100000 |
3 | 102201122201001012000121200 |
4 | 300030312110011123200 |
5 | 413232123220120000 |
6 | 11013355221121200 |
7 | 461210436060162 |
oct | 60146624053340 |
9 | 12648631160550 |
10 | 3312331020000 |
11 | 106782a5658a2 |
12 | 455b50b59200 |
13 | 1b0475262442 |
14 | b64639c2932 |
15 | 5b26475d500 |
hex | 303365056e0 |
3312331020000 has 720 divisors, whose sum is σ = 12123001210320. Its totient is φ = 856977408000.
The previous prime is 3312331019951. The next prime is 3312331020007. The reversal of 3312331020000 is 201332133.
3312331020000 is a `hidden beast` number, since 3 + 312 + 331 + 0 + 20 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3312331020007) 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 119 ways as a sum of consecutive naturals, for example, 4482179631 + ... + 4482180369.
It is an arithmetic number, because the mean of its divisors is an integer number (16837501681).
Almost surely, 23312331020000 is an apocalyptic number.
3312331020000 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 3312331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061500605160).
3312331020000 is an abundant number, since it is smaller than the sum of its proper divisors (8810670190320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3312331020000 is a wasteful number, since it uses less digits than its factorization.
3312331020000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1485 (or 1459 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 3312331020000 its reverse (201332133), we get a palindrome (3312532352133).
The spelling of 3312331020000 in words is "three trillion, three hundred twelve billion, three hundred thirty-one million, twenty thousand".
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