Base | Representation |
---|---|
bin | 110010010000010001110110… |
… | …111010100000101110000110 |
3 | 1001222120101212100111100221000 |
4 | 302100101312322200232012 |
5 | 212432202013044231042 |
6 | 2102023352400234130 |
7 | 64361145502116216 |
oct | 6220216672405606 |
9 | 1058511770440830 |
10 | 221021012102022 |
11 | 64473537364550 |
12 | 2095742990b946 |
13 | 9643265acc7c2 |
14 | 3c8168cb8c246 |
15 | 1a843e51c974c |
hex | c90476ea0b86 |
221021012102022 has 128 divisors (see below), whose sum is σ = 541567853798400. Its totient is φ = 66258064281600.
The previous prime is 221021012102003. The next prime is 221021012102029. The reversal of 221021012102022 is 220201210120122.
It is a happy number.
221021012102022 is a `hidden beast` number, since 221 + 0 + 210 + 1 + 210 + 2 + 0 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 221021012101986 and 221021012102004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221021012102029) 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, 38839423 + ... + 44164949.
It is an arithmetic number, because the mean of its divisors is an integer number (4230998857800).
Almost surely, 2221021012102022 is an apocalyptic number.
221021012102022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 221021012102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270783926899200).
221021012102022 is an abundant number, since it is smaller than the sum of its proper divisors (320546841696378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221021012102022 is a wasteful number, since it uses less digits than its factorization.
221021012102022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5326299 (or 5326293 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 221021012102022 its reverse (220201210120122), we get a palindrome (441222222222144).
The spelling of 221021012102022 in words is "two hundred twenty-one trillion, twenty-one billion, twelve million, one hundred two thousand, twenty-two".
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