Base | Representation |
---|---|
bin | 100000000001111101000… |
… | …110100000001000010100 |
3 | 21210102110222120201202221 |
4 | 200001331012200020110 |
5 | 242030344230041040 |
6 | 4403103113512124 |
7 | 315011600151466 |
oct | 40017506401024 |
9 | 7712428521687 |
10 | 2201122112020 |
11 | 77954405a397 |
12 | 2b6713412644 |
13 | 12c7461a6a50 |
14 | 7876b9c8136 |
15 | 3c3c9c0474a |
hex | 2007d1a0214 |
2201122112020 has 48 divisors (see below), whose sum is σ = 4986043266960. Its totient is φ = 811396141056.
The previous prime is 2201122112003. The next prime is 2201122112029. The reversal of 2201122112020 is 202112211022.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 1128294332944 + 1072827779076 = 1062212^2 + 1035774^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2201122111985 and 2201122112003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2201122112029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6745885 + ... + 7064644.
It is an arithmetic number, because the mean of its divisors is an integer number (103875901395).
Almost surely, 22201122112020 is an apocalyptic number.
2201122112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2201122112020 is an abundant number, since it is smaller than the sum of its proper divisors (2784921154940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201122112020 is a wasteful number, since it uses less digits than its factorization.
2201122112020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13811164 (or 13811162 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 2201122112020 its reverse (202112211022), we get a palindrome (2403234323042).
The spelling of 2201122112020 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred twelve thousand, twenty".
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