Base | Representation |
---|---|
bin | 11011110010100011011000… |
… | …011010000111100001110010 |
3 | 121000202020022222021100111100 |
4 | 123302203120122013201302 |
5 | 112004433024321201320 |
6 | 1111535353044225230 |
7 | 34513122525415500 |
oct | 3362433032074162 |
9 | 530666288240440 |
10 | 122221220100210 |
11 | 35a4180149a5a0 |
12 | 1185b35b39b216 |
13 | 532754739920a |
14 | 2227777d69670 |
15 | e1e3c39ce790 |
hex | 6f28d8687872 |
122221220100210 has 144 divisors (see below), whose sum is σ = 403261999837632. Its totient is φ = 25396617153600.
The previous prime is 122221220100191. The next prime is 122221220100211. The reversal of 122221220100210 is 12001022122221.
It is a happy number.
122221220100210 is a `hidden beast` number, since 1 + 2 + 2 + 221 + 220 + 10 + 0 + 210 = 666.
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 (122221220100211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1259704326 + ... + 1259801345.
It is an arithmetic number, because the mean of its divisors is an integer number (2800430554428).
Almost surely, 2122221220100210 is an apocalyptic number.
122221220100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
122221220100210 is an abundant number, since it is smaller than the sum of its proper divisors (281040779737422).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122221220100210 is a wasteful number, since it uses less digits than its factorization.
122221220100210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2519505709 (or 2519505699 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122221220100210 its reverse (12001022122221), we get a palindrome (134222242222431).
The spelling of 122221220100210 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred thousand, two hundred ten".
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