Base | Representation |
---|---|
bin | 10111001111010110100000… |
… | …000011100001010001111110 |
3 | 111101220011221011122102221100 |
4 | 113033112200003201101332 |
5 | 101344102111114121342 |
6 | 1001214345204313530 |
7 | 30346300425311214 |
oct | 2717264003412176 |
9 | 441804834572840 |
10 | 102210022020222 |
11 | 2a6270329032a6 |
12 | b568ba16a28a6 |
13 | 450549612675c |
14 | 1b34dc47d8cb4 |
15 | bc3ab59cde4c |
hex | 5cf5a00e147e |
102210022020222 has 24 divisors (see below), whose sum is σ = 222430620616776. Its totient is φ = 33919919200656.
The previous prime is 102210022020221. The next prime is 102210022020233. The reversal of 102210022020222 is 222020220012201.
102210022020222 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 0 + 220 + 2 + 0 + 222 = 666.
It is a super-3 number, since 3×1022100220202223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 102210022020195 and 102210022020204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102210022020221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12507340753 + ... + 12507348924.
It is an arithmetic number, because the mean of its divisors is an integer number (9267942525699).
Almost surely, 2102210022020222 is an apocalyptic number.
102210022020222 is an abundant number, since it is smaller than the sum of its proper divisors (120220598596554).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102210022020222 is a wasteful number, since it uses less digits than its factorization.
102210022020222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25014689912 (or 25014689909 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 102210022020222 its reverse (222020220012201), we get a palindrome (324230242032423).
The spelling of 102210022020222 in words is "one hundred two trillion, two hundred ten billion, twenty-two million, twenty thousand, two hundred twenty-two".
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