Base | Representation |
---|---|
bin | 110000000001011110000… |
… | …100011101010010111000 |
3 | 102200111011120000220012220 |
4 | 300001132010131102320 |
5 | 413032112424011300 |
6 | 11004015005004040 |
7 | 460265610413664 |
oct | 60013604352270 |
9 | 12614146026186 |
10 | 3300113110200 |
11 | 106262a8a9385 |
12 | 453701253620 |
13 | 1ac278c1270a |
14 | b5a2507d8a4 |
15 | 5ac9bce6da0 |
hex | 3005e11d4b8 |
3300113110200 has 768 divisors, whose sum is σ = 11413326643200. Its totient is φ = 785033625600.
The previous prime is 3300113110193. The next prime is 3300113110213. The reversal of 3300113110200 is 20113110033.
It is a super-2 number, since 2×33001131102002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3300113110200.
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 4019625790 + ... + 4019626610.
It is an arithmetic number, because the mean of its divisors is an integer number (14861102400).
Almost surely, 23300113110200 is an apocalyptic number.
3300113110200 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 3300113110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706663321600).
3300113110200 is an abundant number, since it is smaller than the sum of its proper divisors (8113213533000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3300113110200 is a wasteful number, since it uses less digits than its factorization.
3300113110200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
Adding to 3300113110200 its reverse (20113110033), we get a palindrome (3320226220233).
The spelling of 3300113110200 in words is "three trillion, three hundred billion, one hundred thirteen million, one hundred ten thousand, two hundred".
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