Base | Representation |
---|---|
bin | 1001110010101010110111… |
… | …10011110001101010000001 |
3 | 2211020110101211102222111100 |
4 | 10321111123303301222001 |
5 | 10310240432101313431 |
6 | 113443432241005013 |
7 | 4351436161445130 |
oct | 471253363615201 |
9 | 84213354388440 |
10 | 21532211354241 |
11 | 6951839a69645 |
12 | 24b9106023769 |
13 | c0262bc6ab63 |
14 | 5462438c7917 |
15 | 27518006a4e6 |
hex | 13955bcf1a81 |
21532211354241 has 96 divisors (see below), whose sum is σ = 36566282608128. Its totient is φ = 11956027576320.
The previous prime is 21532211354233. The next prime is 21532211354263. The reversal of 21532211354241 is 14245311223512.
21532211354241 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 221 + 1 + 3 + 5 + 424 + 1 = 666.
It is not a de Polignac number, because 21532211354241 - 23 = 21532211354233 is a prime.
It is a super-3 number, since 3×215322113542413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 21532211354196 and 21532211354205.
It is not an unprimeable number, because it can be changed into a prime (21532211354281) 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 95 ways as a sum of consecutive naturals, for example, 207581596 + ... + 207685298.
It is an arithmetic number, because the mean of its divisors is an integer number (380898777168).
Almost surely, 221532211354241 is an apocalyptic number.
21532211354241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
It is an amenable number.
21532211354241 is a deficient number, since it is larger than the sum of its proper divisors (15034071253887).
21532211354241 is a wasteful number, since it uses less digits than its factorization.
21532211354241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104431 (or 104428 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
Adding to 21532211354241 its reverse (14245311223512), we get a palindrome (35777522577753).
The spelling of 21532211354241 in words is "twenty-one trillion, five hundred thirty-two billion, two hundred eleven million, three hundred fifty-four thousand, two hundred forty-one".
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