Base | Representation |
---|---|
bin | 1010000110101110000100… |
… | …00001111010000011000100 |
3 | 2220200022121010200012020000 |
4 | 11003113002001322003010 |
5 | 10403032324000231040 |
6 | 115132124143441300 |
7 | 4452265044622611 |
oct | 503270201720304 |
9 | 86608533605200 |
10 | 22221121102020 |
11 | 7097a19616635 |
12 | 25aa7285b6230 |
13 | c5259a8a0779 |
14 | 56b717d47508 |
15 | 2880506a7130 |
hex | 1435c207a0c4 |
22221121102020 has 240 divisors, whose sum is σ = 74103866020800. Its totient is φ = 5558174380800.
The previous prime is 22221121102009. The next prime is 22221121102031. The reversal of 22221121102020 is 2020112112222.
It is a happy number.
22221121102020 is a `hidden beast` number, since 222 + 211 + 21 + 10 + 202 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (22221121102009) and next prime (22221121102031).
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 = 22221121101984 and 22221121102002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 465150 + ... + 6682709.
It is an arithmetic number, because the mean of its divisors is an integer number (308766108420).
Almost surely, 222221121102020 is an apocalyptic number.
22221121102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22221121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051933010400).
22221121102020 is an abundant number, since it is smaller than the sum of its proper divisors (51882744918780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22221121102020 is a wasteful number, since it uses less digits than its factorization.
22221121102020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7148000 (or 7147989 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22221121102020 its reverse (2020112112222), we get a palindrome (24241233214242).
The spelling of 22221121102020 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, twenty".
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