Base | Representation |
---|---|
bin | 11101011010011010001… |
… | …110110011001100111010 |
3 | 21011020010110011022121000 |
4 | 131122122032303030322 |
5 | 231103430340400442 |
6 | 4144311530225430 |
7 | 266012525141436 |
oct | 35323216631472 |
9 | 7136113138530 |
10 | 2021222200122 |
11 | 70a217269954 |
12 | 287887285276 |
13 | 1187a6207138 |
14 | 6db832039c6 |
15 | 3789b1bbd4c |
hex | 1d69a3b333a |
2021222200122 has 128 divisors (see below), whose sum is σ = 4629240000000. Its totient is φ = 653303439360.
The previous prime is 2021222200121. The next prime is 2021222200171. The reversal of 2021222200122 is 2210022221202.
2021222200122 is a `hidden beast` number, since 202 + 122 + 220 + 0 + 122 = 666.
It is a super-3 number, since 3×20212222001223 (a number of 38 digits) contains 333 as substring.
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 = 2021222200095 and 2021222200104.
It is not an unprimeable number, because it can be changed into a prime (2021222200121) 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 63 ways as a sum of consecutive naturals, for example, 550290078 + ... + 550293750.
It is an arithmetic number, because the mean of its divisors is an integer number (36165937500).
Almost surely, 22021222200122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2021222200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314620000000).
2021222200122 is an abundant number, since it is smaller than the sum of its proper divisors (2608017799878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021222200122 is a wasteful number, since it uses less digits than its factorization.
2021222200122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5173 (or 5167 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2021222200122 its reverse (2210022221202), we get a palindrome (4231244421324).
The spelling of 2021222200122 in words is "two trillion, twenty-one billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-two".
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