Base | Representation |
---|---|
bin | 11101011011010101001… |
… | …110111110000000000100 |
3 | 21011022200102211110002011 |
4 | 131123111032332000010 |
5 | 231112442244200400 |
6 | 4144554051224004 |
7 | 266046205145263 |
oct | 35332516760004 |
9 | 7138612743064 |
10 | 2022212100100 |
11 | 70a685014405 |
12 | 287b028a8004 |
13 | 11890331907a |
14 | 6dc388825da |
15 | 379080558ba |
hex | 1d6d53be004 |
2022212100100 has 36 divisors (see below), whose sum is σ = 4388285733300. Its totient is φ = 808869084160.
The previous prime is 2022212100091. The next prime is 2022212100109. The reversal of 2022212100100 is 10012122202.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2022212100091) and next prime (2022212100109).
It can be written as a sum of positive squares in 6 ways, for example, as 167102723524 + 1855109376576 = 408782^2 + 1362024^2 .
It is not an unprimeable number, because it can be changed into a prime (2022212100109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5902296 + ... + 6235504.
It is an arithmetic number, because the mean of its divisors is an integer number (121896825925).
Almost surely, 22022212100100 is an apocalyptic number.
2022212100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2022212100100 is an abundant number, since it is smaller than the sum of its proper divisors (2366073633200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022212100100 is a wasteful number, since it uses less digits than its factorization.
2022212100100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 393912 (or 393905 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 2022212100100 its reverse (10012122202), we get a palindrome (2032224222302).
The spelling of 2022212100100 in words is "two trillion, twenty-two billion, two hundred twelve million, one hundred thousand, one hundred".
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