Base | Representation |
---|---|
bin | 100000000001111101110… |
… | …001010010111001010000 |
3 | 21210102111202200122221200 |
4 | 200001331301102321100 |
5 | 242030410113030000 |
6 | 4403104154151200 |
7 | 315012064413123 |
oct | 40017561227120 |
9 | 7712452618850 |
10 | 2201133330000 |
11 | 77954a421650 |
12 | 2b6717122500 |
13 | 12c748603ac7 |
14 | 7876d2a83ba |
15 | 3c3cabbd500 |
hex | 2007dc52e50 |
2201133330000 has 600 divisors, whose sum is σ = 8624572578336. Its totient is φ = 519177600000.
The previous prime is 2201133329999. The next prime is 2201133330001. The reversal of 2201133330000 is 333311022.
2201133330000 is a `hidden beast` number, since 2 + 20 + 11 + 333 + 300 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2201133329999) and next prime (2201133330001).
It is a tau number, because it is divible by the number of its divisors (600).
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 (2201133330001) 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, 36599955 + ... + 36660045.
Almost surely, 22201133330000 is an apocalyptic number.
2201133330000 is a gapful number since it is divisible by the number (20) 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 2201133330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312286289168).
2201133330000 is an abundant number, since it is smaller than the sum of its proper divisors (6423439248336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201133330000 is a wasteful number, since it uses less digits than its factorization.
2201133330000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60173 (or 60149 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 2201133330000 its reverse (333311022), we get a palindrome (2201466641022).
The spelling of 2201133330000 in words is "two trillion, two hundred one billion, one hundred thirty-three million, three hundred thirty thousand".
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