Base | Representation |
---|---|
bin | 100000010100100011111… |
… | …011111111101110101010 |
3 | 21212100001100102112010100 |
4 | 200110203323333232222 |
5 | 242342303330201442 |
6 | 4420205411130230 |
7 | 316316645120013 |
oct | 40244373775652 |
9 | 7770040375110 |
10 | 2221101022122 |
11 | 786a66694244 |
12 | 2ba56a2a3976 |
13 | 1315ab3a9148 |
14 | 7970518000a |
15 | 3cb98ba684c |
hex | 20523effbaa |
2221101022122 has 48 divisors (see below), whose sum is σ = 4981425813000. Its totient is φ = 714392566272.
The previous prime is 2221101022109. The next prime is 2221101022123. The reversal of 2221101022122 is 2212201011222.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1874322545481 + 346778476641 = 1369059^2 + 588879^2 .
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 = 2221101022095 and 2221101022104.
It is not an unprimeable number, because it can be changed into a prime (2221101022123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482347 + ... + 2162142.
Almost surely, 22221101022122 is an apocalyptic number.
2221101022122 is an abundant number, since it is smaller than the sum of its proper divisors (2760324790878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221101022122 is a wasteful number, since it uses less digits than its factorization.
2221101022122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2646135 (or 2646132 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2221101022122 its reverse (2212201011222), we get a palindrome (4433302033344).
The spelling of 2221101022122 in words is "two trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred twenty-two".
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