Base | Representation |
---|---|
bin | 11011101111011110101100… |
… | …000001101110101111001010 |
3 | 121000000001012012222221021100 |
4 | 123233132230001232233022 |
5 | 111443003011130042302 |
6 | 1111254344054322230 |
7 | 34461635042221230 |
oct | 3357365401565712 |
9 | 530001165887240 |
10 | 122010022112202 |
11 | 35970183762254 |
12 | 11826439659376 |
13 | 531065a121143 |
14 | 221b46099a950 |
15 | e18b6240cd1c |
hex | 6ef7ac06ebca |
122010022112202 has 96 divisors (see below), whose sum is σ = 307311234946560. Its totient is φ = 34261295150880.
The previous prime is 122010022112201. The next prime is 122010022112227. The reversal of 122010022112202 is 202211220010221.
It is a happy number.
122010022112202 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 0 + 221 + 1 + 220 + 2 = 666.
It is a super-3 number, since 3×1220100221122023 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122010022112201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30553677 + ... + 34315407.
It is an arithmetic number, because the mean of its divisors is an integer number (3201158697360).
Almost surely, 2122010022112202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122010022112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153655617473280).
122010022112202 is an abundant number, since it is smaller than the sum of its proper divisors (185301212834358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122010022112202 is a wasteful number, since it uses less digits than its factorization.
122010022112202 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3766168 (or 3766165 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122010022112202 its reverse (202211220010221), we get a palindrome (324221242122423).
The spelling of 122010022112202 in words is "one hundred twenty-two trillion, ten billion, twenty-two million, one hundred twelve thousand, two hundred two".
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