Base | Representation |
---|---|
bin | 11101001000100111110… |
… | …010001000001010110110 |
3 | 21002101211100011101120100 |
4 | 131020213302020022312 |
5 | 230300321241241042 |
6 | 4131432351214530 |
7 | 264435312003102 |
oct | 35104762101266 |
9 | 7071740141510 |
10 | 2002122212022 |
11 | 702105880119 |
12 | 284036817446 |
13 | 116a5112b42a |
14 | 6cc9067c902 |
15 | 3712e48124c |
hex | 1d227c882b6 |
2002122212022 has 48 divisors (see below), whose sum is σ = 4345997198400. Its totient is φ = 666133583616.
The previous prime is 2002122211919. The next prime is 2002122212033. The reversal of 2002122212022 is 2202122212002.
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 = 2002122211986 and 2002122212004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80565603 + ... + 80590449.
It is an arithmetic number, because the mean of its divisors is an integer number (90541608300).
Almost surely, 22002122212022 is an apocalyptic number.
2002122212022 is an abundant number, since it is smaller than the sum of its proper divisors (2343874986378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002122212022 is a wasteful number, since it uses less digits than its factorization.
2002122212022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32997 (or 32994 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2002122212022 its reverse (2202122212002), we get a palindrome (4204244424024).
It can be divided in two parts, 2002122 and 212022, that added together give a square (2214144 = 14882).
The spelling of 2002122212022 in words is "two trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, twenty-two".
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