Base | Representation |
---|---|
bin | 10100011111111101… |
… | …101011101111000101 |
3 | 2002210222202201221200 |
4 | 110133331223233011 |
5 | 330034320200401 |
6 | 14040050133113 |
7 | 1406312156334 |
oct | 243775535705 |
9 | 62728681850 |
10 | 22011100101 |
11 | 9375768321 |
12 | 4323581199 |
13 | 20ca23a4b3 |
14 | 10cb42dd1b |
15 | 88c5c2686 |
hex | 51ff6bbc5 |
22011100101 has 6 divisors (see below), whose sum is σ = 31793811270. Its totient is φ = 14674066728.
The previous prime is 22011100093. The next prime is 22011100109. The reversal of 22011100101 is 10100111022.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22011100093) and next prime (22011100109).
It can be written as a sum of positive squares in only one way, i.e., 15518930625 + 6492169476 = 124575^2 + 80574^2 .
It is not a de Polignac number, because 22011100101 - 23 = 22011100093 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2445677789 = 22011100101 / (2 + 2 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 0 + 1).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22011100109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1222838886 + ... + 1222838903.
It is an arithmetic number, because the mean of its divisors is an integer number (5298968545).
Almost surely, 222011100101 is an apocalyptic number.
It is an amenable number.
22011100101 is a deficient number, since it is larger than the sum of its proper divisors (9782711169).
22011100101 is a wasteful number, since it uses less digits than its factorization.
22011100101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2445677795 (or 2445677792 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 22011100101 its reverse (10100111022), we get a palindrome (32111211123).
The spelling of 22011100101 in words is "twenty-two billion, eleven million, one hundred thousand, one hundred one".
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