Base | Representation |
---|---|
bin | 110000000100001011111… |
… | …011101000001100010000 |
3 | 102200202200211201211111001 |
4 | 300010023323220030100 |
5 | 413104101141443440 |
6 | 11005220244431344 |
7 | 460431110010421 |
oct | 60041373501420 |
9 | 12622624654431 |
10 | 3303030031120 |
11 | 1063897385226 |
12 | 4541960a8554 |
13 | 1ac622329221 |
14 | b5c2061b648 |
15 | 5adbce29b9a |
hex | 3010bee8310 |
3303030031120 has 80 divisors (see below), whose sum is σ = 7946364636720. Its totient is φ = 1275330560000.
The previous prime is 3303030031097. The next prime is 3303030031121. The reversal of 3303030031120 is 211300303033.
It can be written as a sum of positive squares in 8 ways, for example, as 35344 + 3303029995776 = 188^2 + 1817424^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (3303030031121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9104400 + ... + 9460240.
It is an arithmetic number, because the mean of its divisors is an integer number (99329557959).
Almost surely, 23303030031120 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 3303030031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973182318360).
3303030031120 is an abundant number, since it is smaller than the sum of its proper divisors (4643334605600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3303030031120 is a wasteful number, since it uses less digits than its factorization.
3303030031120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 359884 (or 359878 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 19.
Adding to 3303030031120 its reverse (211300303033), we get a palindrome (3514330334153).
The spelling of 3303030031120 in words is "three trillion, three hundred three billion, thirty million, thirty-one thousand, one hundred twenty".
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