Base | Representation |
---|---|
bin | 11101011011001111111… |
… | …100010110011000000000 |
3 | 21011022110020210121200020 |
4 | 131123033330112120000 |
5 | 231112302033124440 |
6 | 4144541200453440 |
7 | 266044046506362 |
oct | 35331774263000 |
9 | 7138406717606 |
10 | 2022123333120 |
11 | 70a6399a5470 |
12 | 287a9901a280 |
13 | 1188bab09427 |
14 | 6dc2ab76d32 |
15 | 3790036e3d0 |
hex | 1d6cff16600 |
2022123333120 has 320 divisors, whose sum is σ = 7466993081856. Its totient is φ = 461375406080.
The previous prime is 2022123333119. The next prime is 2022123333127. The reversal of 2022123333120 is 213333212202.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-4 number, since 4×20221233331204 (a number of 50 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2022123333127) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732157 + ... + 2140163.
Almost surely, 22022123333120 is an apocalyptic number.
2022123333120 is a gapful number since it is divisible by the number (20) 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 2022123333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733496540928).
2022123333120 is an abundant number, since it is smaller than the sum of its proper divisors (5444869748736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022123333120 is a wasteful number, since it uses less digits than its factorization.
2022123333120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1408061 (or 1408045 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
Adding to 2022123333120 its reverse (213333212202), we get a palindrome (2235456545322).
The spelling of 2022123333120 in words is "two trillion, twenty-two billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty".
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