Base | Representation |
---|---|
bin | 1010000011110101110101… |
… | …00110011001001000110100 |
3 | 2220022212022000010102102002 |
4 | 11001322322212121020310 |
5 | 10344422242310413022 |
6 | 115014445354434432 |
7 | 4442164020056000 |
oct | 501727246311064 |
9 | 86285260112362 |
10 | 22122212201012 |
11 | 7059a83076340 |
12 | 2593524132a18 |
13 | c46167146441 |
14 | 566a13b89700 |
15 | 2856b2146092 |
hex | 141eba999234 |
22122212201012 has 192 divisors, whose sum is σ = 51859917312000. Its totient is φ = 8162882904960.
The previous prime is 22122212200987. The next prime is 22122212201017. The reversal of 22122212201012 is 21010221222122.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22122212201017) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104830033 + ... + 1104850055.
It is an arithmetic number, because the mean of its divisors is an integer number (270103736000).
Almost surely, 222122212201012 is an apocalyptic number.
22122212201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22122212201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25929958656000).
22122212201012 is an abundant number, since it is smaller than the sum of its proper divisors (29737705110988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122212201012 is a wasteful number, since it uses less digits than its factorization.
22122212201012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23931 (or 23915 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 22122212201012 its reverse (21010221222122), we get a palindrome (43132433423134).
The spelling of 22122212201012 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred one thousand, twelve".
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