Base | Representation |
---|---|
bin | 1010000011100001001000… |
… | …10101010100110110010001 |
3 | 2220021210121122211121010111 |
4 | 11001300210111110312101 |
5 | 10344232013402210001 |
6 | 115005411043401321 |
7 | 4441321462153126 |
oct | 501604425246621 |
9 | 86253548747114 |
10 | 22111101210001 |
11 | 70552a121a341 |
12 | 2591343083241 |
13 | c450b622a64b |
14 | 56627c26674d |
15 | 285261980851 |
hex | 141c24554d91 |
22111101210001 has 16 divisors (see below), whose sum is σ = 23456055271248. Its totient is φ = 20771072870400.
The previous prime is 22111101209999. The next prime is 22111101210041. The reversal of 22111101210001 is 10001210111122.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 1945397300625 + 20165703909376 = 1394775^2 + 4490624^2 .
It is a cyclic number.
It is not a de Polignac number, because 22111101210001 - 21 = 22111101209999 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (22111101210041) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308808661 + ... + 308880253.
It is an arithmetic number, because the mean of its divisors is an integer number (1466003454453).
Almost surely, 222111101210001 is an apocalyptic number.
It is an amenable number.
22111101210001 is a deficient number, since it is larger than the sum of its proper divisors (1344954061247).
22111101210001 is a wasteful number, since it uses less digits than its factorization.
22111101210001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105732.
The product of its (nonzero) digits is 8, while the sum is 13.
Adding to 22111101210001 its reverse (10001210111122), we get a palindrome (32112311321123).
The spelling of 22111101210001 in words is "twenty-two trillion, one hundred eleven billion, one hundred one million, two hundred ten thousand, one".
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