Base | Representation |
---|---|
bin | 110000000001101010000100… |
… | …010010000010000000100110 |
3 | 1000200212110001101210020012100 |
4 | 300001222010102002000212 |
5 | 210141112301434031042 |
6 | 2025121103430032530 |
7 | 62330102334245466 |
oct | 6001520422020046 |
9 | 1020773041706170 |
10 | 211220121002022 |
11 | 61334a4a899050 |
12 | 1b833a5b1a8746 |
13 | 90b1c83494a52 |
14 | 3a2317365dba6 |
15 | 19644c038b24c |
hex | c01a84482026 |
211220121002022 has 96 divisors (see below), whose sum is σ = 511457001584256. Its totient is φ = 62440983561600.
The previous prime is 211220121001987. The next prime is 211220121002047. The reversal of 211220121002022 is 220200121022112.
It is a happy number.
211220121002022 is a `hidden beast` number, since 211 + 2 + 201 + 210 + 0 + 20 + 22 = 666.
It is a super-2 number, since 2×2112201210020222 (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 junction number, because it is equal to n+sod(n) for n = 211220121001986 and 211220121002004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127465533 + ... + 129111975.
It is an arithmetic number, because the mean of its divisors is an integer number (5327677099836).
Almost surely, 2211220121002022 is an apocalyptic number.
211220121002022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 211220121002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255728500792128).
211220121002022 is an abundant number, since it is smaller than the sum of its proper divisors (300236880582234).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211220121002022 is a wasteful number, since it uses less digits than its factorization.
211220121002022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1662306 (or 1662303 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 211220121002022 its reverse (220200121022112), we get a palindrome (431420242024134).
The spelling of 211220121002022 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty-one million, two thousand, twenty-two".
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