Base | Representation |
---|---|
bin | 1010000000010110010011… |
… | …11110111110111000010100 |
3 | 2212220101112221010000121100 |
4 | 11000023021332332320110 |
5 | 10340441012033033022 |
6 | 114443402025150100 |
7 | 4430415206422311 |
oct | 500131176767024 |
9 | 85811487100540 |
10 | 22002211221012 |
11 | 70130a3701a00 |
12 | 257421402b330 |
13 | c37a519a7cb9 |
14 | 560cac669d08 |
15 | 2824dc04a1ac |
hex | 1402c9fbee14 |
22002211221012 has 54 divisors (see below), whose sum is σ = 61132406441834. Its totient is φ = 6667336732320.
The previous prime is 22002211220999. The next prime is 22002211221013. The reversal of 22002211221012 is 21012211220022.
It is a happy number.
22002211221012 is a `hidden beast` number, since 220 + 0 + 2 + 211 + 221 + 0 + 12 = 666.
It can be written as a sum of positive squares in only one way, i.e., 11888055784836 + 10114155436176 = 3447906^2 + 3180276^2 .
It is a super-3 number, since 3×220022112210123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22002211221013) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2525501983 + ... + 2525510694.
Almost surely, 222002211221012 is an apocalyptic number.
22002211221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
22002211221012 is an abundant number, since it is smaller than the sum of its proper divisors (39130195220822).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22002211221012 is a wasteful number, since it uses less digits than its factorization.
22002211221012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5051012709 (or 5051012693 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22002211221012 its reverse (21012211220022), we get a palindrome (43014422441034).
The spelling of 22002211221012 in words is "twenty-two trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, twelve".
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