Base | Representation |
---|---|
bin | 110000001110110010000110… |
… | …011010111011011100011110 |
3 | 1000211001200012212102220010200 |
4 | 300032302012122323130132 |
5 | 210300402030101133042 |
6 | 2031051314130444330 |
7 | 62452213245354642 |
oct | 6016620632733436 |
9 | 1024050185386120 |
10 | 212122100021022 |
11 | 616525284a5134 |
12 | 1b95a8261336a6 |
13 | 9149049c603c9 |
14 | 3a54a9b7dcc22 |
15 | 197cbb14d3c4c |
hex | c0ec866bb71e |
212122100021022 has 96 divisors (see below), whose sum is σ = 505170375390720. Its totient is φ = 64029211076160.
The previous prime is 212122100020997. The next prime is 212122100021047. The reversal of 212122100021022 is 220120001221212.
It is a happy number.
212122100021022 is a `hidden beast` number, since 212 + 1 + 221 + 0 + 0 + 0 + 210 + 22 = 666.
It is an interprime number because it is at equal distance from previous prime (212122100020997) and next prime (212122100021047).
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 = 212122100020986 and 212122100021004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063872 + ... + 20700332.
It is an arithmetic number, because the mean of its divisors is an integer number (5262191410320).
Almost surely, 2212122100021022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212122100021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252585187695360).
212122100021022 is an abundant number, since it is smaller than the sum of its proper divisors (293048275369698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212122100021022 is a wasteful number, since it uses less digits than its factorization.
212122100021022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18637958 (or 18637955 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212122100021022 its reverse (220120001221212), we get a palindrome (432242101242234).
The spelling of 212122100021022 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, twenty-two".
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