Base | Representation |
---|---|
bin | 110000001111111011110001… |
… | …110100001000001000010110 |
3 | 1000211100020102021002011221100 |
4 | 300033323301310020020112 |
5 | 210303201040031400042 |
6 | 2031151520213530530 |
7 | 62461013555320452 |
oct | 6017736164101026 |
9 | 1024306367064840 |
10 | 212201211200022 |
11 | 61683034714900 |
12 | 1b972024343a46 |
13 | 9153646bb3c25 |
14 | 3a588444cb662 |
15 | 197ec9193324c |
hex | c0fef1d08216 |
212201211200022 has 144 divisors (see below), whose sum is σ = 506350010275200. Its totient is φ = 64178307072000.
The previous prime is 212201211200009. The next prime is 212201211200047. The reversal of 212201211200022 is 220002112102212.
It is a happy number.
212201211200022 is a `hidden beast` number, since 212 + 20 + 1 + 211 + 200 + 0 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 212201211199968 and 212201211200004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3453708822 + ... + 3453770262.
It is an arithmetic number, because the mean of its divisors is an integer number (3516319515800).
Almost surely, 2212201211200022 is an apocalyptic number.
212201211200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 212201211200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253175005137600).
212201211200022 is an abundant number, since it is smaller than the sum of its proper divisors (294148799075178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212201211200022 is a wasteful number, since it uses less digits than its factorization.
212201211200022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64531 (or 64517 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212201211200022 its reverse (220002112102212), we get a palindrome (432203323302234).
The spelling of 212201211200022 in words is "two hundred twelve trillion, two hundred one billion, two hundred eleven million, two hundred thousand, twenty-two".
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