Base | Representation |
---|---|
bin | 1010000011100000111110… |
… | …11111100111100111001101 |
3 | 2220021210102000001211102200 |
4 | 11001300133133213213031 |
5 | 10344231332111202341 |
6 | 115005355023312113 |
7 | 4441316455112064 |
oct | 501603737474715 |
9 | 86253360054380 |
10 | 22111020022221 |
11 | 705525a4077a9 |
12 | 259131ba4b639 |
13 | c450a2472740 |
14 | 5662715711db |
15 | 285259794db6 |
hex | 141c1f7e79cd |
22111020022221 has 24 divisors (see below), whose sum is σ = 34395666088056. Its totient is φ = 13606486410240.
The previous prime is 22111020022213. The next prime is 22111020022229. The reversal of 22111020022221 is 12222002011122.
It is a happy number.
22111020022221 is a `hidden beast` number, since 2 + 211 + 10 + 200 + 22 + 221 = 666.
It is an interprime number because it is at equal distance from previous prime (22111020022213) and next prime (22111020022229).
It can be written as a sum of positive squares in 4 ways, for example, as 612830637225 + 21498189384996 = 782835^2 + 4636614^2 .
It is not a de Polignac number, because 22111020022221 - 23 = 22111020022213 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22111020022194 and 22111020022203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22111020022229) 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, 3429781 + ... + 7482341.
It is an arithmetic number, because the mean of its divisors is an integer number (1433152753669).
Almost surely, 222111020022221 is an apocalyptic number.
It is an amenable number.
22111020022221 is a deficient number, since it is larger than the sum of its proper divisors (12284646065835).
22111020022221 is a wasteful number, since it uses less digits than its factorization.
22111020022221 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4099213 (or 4099210 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22111020022221 its reverse (12222002011122), we get a palindrome (34333022033343).
The spelling of 22111020022221 in words is "twenty-two trillion, one hundred eleven billion, twenty million, twenty-two thousand, two hundred twenty-one".
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