Base | Representation |
---|---|
bin | 110000001101010100111111… |
… | …001001110011010010011110 |
3 | 1000210201010011002120201110200 |
4 | 300031110333021303102132 |
5 | 210242232300221213042 |
6 | 2030533341202044330 |
7 | 62442043534150500 |
oct | 6015247711632236 |
9 | 1023633132521420 |
10 | 212022120101022 |
11 | 61614092434480 |
12 | 1b9433830496a6 |
13 | 913c7a566162a |
14 | 3a4dcd52c7d70 |
15 | 197a2ade13c4c |
hex | c0d53f27349e |
212022120101022 has 144 divisors (see below), whose sum is σ = 584159551028352. Its totient is φ = 54957597841440.
The previous prime is 212022120101021. The next prime is 212022120101111. The reversal of 212022120101022 is 220101021220212.
It is a happy number.
212022120101022 is a `hidden beast` number, since 212 + 0 + 221 + 201 + 0 + 10 + 22 = 666.
It is a super-3 number, since 3×2120221201010223 (a number of 44 digits) contains 333 as substring.
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 = 212022120100986 and 212022120101004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212022120101021) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17711928 + ... + 27161675.
It is an arithmetic number, because the mean of its divisors is an integer number (4056663548808).
Almost surely, 2212022120101022 is an apocalyptic number.
212022120101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
212022120101022 is an abundant number, since it is smaller than the sum of its proper divisors (372137430927330).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212022120101022 is a wasteful number, since it uses less digits than its factorization.
212022120101022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44874123 (or 44874113 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212022120101022 its reverse (220101021220212), we get a palindrome (432123141321234).
The spelling of 212022120101022 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty million, one hundred one thousand, twenty-two".
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