Base | Representation |
---|---|
bin | 10111001111011111110011… |
… | …111111100011011100000110 |
3 | 111101221010201221222122212100 |
4 | 113033133303333203130012 |
5 | 101344233100132414342 |
6 | 1001223121244132530 |
7 | 30350103251406030 |
oct | 2717376377433406 |
9 | 441833657878770 |
10 | 102220020201222 |
11 | 2a6302a3595700 |
12 | b56ab11b37146 |
13 | 45063ca627ca1 |
14 | 1b35692606c50 |
15 | bc3e9d62ce4c |
hex | 5cf7f3fe3706 |
102220020201222 has 144 divisors (see below), whose sum is σ = 278287558567200. Its totient is φ = 26544081231360.
The previous prime is 102220020201149. The next prime is 102220020201227. The reversal of 102220020201222 is 222102020022201.
102220020201222 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 0 + 20 + 201 + 222 = 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 = 102220020201195 and 102220020201204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102220020201227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60903108 + ... + 62559000.
It is an arithmetic number, because the mean of its divisors is an integer number (1932552490050).
Almost surely, 2102220020201222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102220020201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139143779283600).
102220020201222 is an abundant number, since it is smaller than the sum of its proper divisors (176067538365978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102220020201222 is a wasteful number, since it uses less digits than its factorization.
102220020201222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1659979 (or 1659965 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 102220020201222 its reverse (222102020022201), we get a palindrome (324322040223423).
The spelling of 102220020201222 in words is "one hundred two trillion, two hundred twenty billion, twenty million, two hundred one thousand, two hundred twenty-two".
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