Base | Representation |
---|---|
bin | 110000000001101100000001… |
… | …011001011101001000000110 |
3 | 1000200212122110200121110102200 |
4 | 300001230001121131020012 |
5 | 210141131101321200402 |
6 | 2025122052013015330 |
7 | 62330205343265121 |
oct | 6001540131351006 |
9 | 1020778420543380 |
10 | 211222220100102 |
11 | 61335927770552 |
12 | 1b834346184546 |
13 | 90b2229328213 |
14 | 3a232d23533b8 |
15 | 19645947c621c |
hex | c01b0165d206 |
211222220100102 has 96 divisors (see below), whose sum is σ = 478272787742880. Its totient is φ = 67284503193600.
The previous prime is 211222220100077. The next prime is 211222220100119. The reversal of 211222220100102 is 201001022222112.
It is a happy number.
211222220100102 is a `hidden beast` number, since 21 + 1 + 222 + 220 + 100 + 102 = 666.
It is a super-2 number, since 2×2112222201001022 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161045238 + ... + 162351510.
It is an arithmetic number, because the mean of its divisors is an integer number (4982008205655).
Almost surely, 2211222220100102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211222220100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239136393871440).
211222220100102 is an abundant number, since it is smaller than the sum of its proper divisors (267050567642778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211222220100102 is a wasteful number, since it uses less digits than its factorization.
211222220100102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1309478 (or 1309475 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 211222220100102 its reverse (201001022222112), we get a palindrome (412223242322214).
The spelling of 211222220100102 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one hundred thousand, one hundred two".
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