Base | Representation |
---|---|
bin | 10100011111010111… |
… | …101010011100001001 |
3 | 2002210022000101002200 |
4 | 110133113222130021 |
5 | 330024242231241 |
6 | 14035052350413 |
7 | 1406131355556 |
oct | 243727523411 |
9 | 62708011080 |
10 | 22001133321 |
11 | 9370080112 |
12 | 4320175409 |
13 | 20c815aaab |
14 | 10c9d97a2d |
15 | 88b7a44b6 |
hex | 51f5ea709 |
22001133321 has 18 divisors (see below), whose sum is σ = 33758759502. Its totient is φ = 13804631040.
The previous prime is 22001133311. The next prime is 22001133331. The reversal of 22001133321 is 12333110022.
22001133321 is a `hidden beast` number, since 220 + 0 + 113 + 332 + 1 = 666.
It is an interprime number because it is at equal distance from previous prime (22001133311) and next prime (22001133331).
It can be written as a sum of positive squares in 3 ways, for example, as 10539075600 + 11462057721 = 102660^2 + 107061^2 .
It is not a de Polignac number, because 22001133321 - 210 = 22001132297 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22001133294 and 22001133303.
It is not an unprimeable number, because it can be changed into a prime (22001133311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4226760 + ... + 4231961.
It is an arithmetic number, because the mean of its divisors is an integer number (1875486639).
Almost surely, 222001133321 is an apocalyptic number.
It is an amenable number.
22001133321 is a deficient number, since it is larger than the sum of its proper divisors (11757626181).
22001133321 is a wasteful number, since it uses less digits than its factorization.
22001133321 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8458761 (or 8458741 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 22001133321 its reverse (12333110022), we get a palindrome (34334243343).
The spelling of 22001133321 in words is "twenty-two billion, one million, one hundred thirty-three thousand, three hundred twenty-one".
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