Base | Representation |
---|---|
bin | 100000000010000011000… |
… | …000011111100101001000 |
3 | 21210102201220000221012112 |
4 | 200002003000133211020 |
5 | 242031100111401300 |
6 | 4403121013401452 |
7 | 315014212325351 |
oct | 40020300374510 |
9 | 7712656027175 |
10 | 2201221200200 |
11 | 779594a88850 |
12 | 2b6740639288 |
13 | 12c76088b4c9 |
14 | 7877ac1cd28 |
15 | 3c3d3778e35 |
hex | 2008301f948 |
2201221200200 has 96 divisors (see below), whose sum is σ = 5591730231360. Its totient is φ = 799206393600.
The previous prime is 2201221200197. The next prime is 2201221200203. The reversal of 2201221200200 is 20021221022.
It is an interprime number because it is at equal distance from previous prime (2201221200197) and next prime (2201221200203).
It is not an unprimeable number, because it can be changed into a prime (2201221200203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650174 + ... + 2196626.
It is an arithmetic number, because the mean of its divisors is an integer number (58247189910).
Almost surely, 22201221200200 is an apocalyptic number.
2201221200200 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 2201221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795865115680).
2201221200200 is an abundant number, since it is smaller than the sum of its proper divisors (3390509031160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201221200200 is a wasteful number, since it uses less digits than its factorization.
2201221200200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1547127 (or 1547118 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 2201221200200 its reverse (20021221022), we get a palindrome (2221242421222).
It can be divided in two parts, 22012 and 21200200, that added together give a palindrome (21222212).
The spelling of 2201221200200 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred thousand, two hundred".
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