Base | Representation |
---|---|
bin | 1010001001010111011000… |
… | …00110010110011110100011 |
3 | 2221000000020010021210122200 |
4 | 11010223230012112132203 |
5 | 10411030004413121311 |
6 | 115242000120504243 |
7 | 4461663454121550 |
oct | 504535406263643 |
9 | 87000203253580 |
10 | 22312021223331 |
11 | 7122525342134 |
12 | 260427691b083 |
13 | c5b02602c6b8 |
14 | 571c9c5d3a27 |
15 | 28a5c0a86556 |
hex | 144aec1967a3 |
22312021223331 has 48 divisors (see below), whose sum is σ = 37338248376000. Its totient is φ = 12574685306880.
The previous prime is 22312021223299. The next prime is 22312021223333. The reversal of 22312021223331 is 13332212021322.
22312021223331 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 202 + 122 + 3 + 331 = 666.
It is not a de Polignac number, because 22312021223331 - 25 = 22312021223299 is a prime.
It is a super-3 number, since 3×223120212233313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 22312021223295 and 22312021223304.
It is not an unprimeable number, because it can be changed into a prime (22312021223333) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219234045 + ... + 219335793.
It is an arithmetic number, because the mean of its divisors is an integer number (777880174500).
Almost surely, 222312021223331 is an apocalyptic number.
22312021223331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
22312021223331 is a deficient number, since it is larger than the sum of its proper divisors (15026227152669).
22312021223331 is a wasteful number, since it uses less digits than its factorization.
22312021223331 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149516 (or 149513 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 22312021223331 its reverse (13332212021322), we get a palindrome (35644233244653).
The spelling of 22312021223331 in words is "twenty-two trillion, three hundred twelve billion, twenty-one million, two hundred twenty-three thousand, three hundred thirty-one".
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