Base | Representation |
---|---|
bin | 1001000110101100101000… |
… | …11000111001111011000100 |
3 | 2121220000120001121122120200 |
4 | 10203112110120321323010 |
5 | 10111012142010421312 |
6 | 110325401211330500 |
7 | 4134331163050161 |
oct | 443262430717304 |
9 | 77800501548520 |
10 | 20021332123332 |
11 | 6419aaa035031 |
12 | 22b4327750a30 |
13 | b23007962c17 |
14 | 4d3075427068 |
15 | 24ac02a3a0dc |
hex | 123594639ec4 |
20021332123332 has 18 divisors (see below), whose sum is σ = 50609478422958. Its totient is φ = 6673777374432.
The previous prime is 20021332123319. The next prime is 20021332123333. The reversal of 20021332123332 is 23332123312002.
20021332123332 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 3 + 321 + 2 + 3 + 332 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14050082742336 + 5971249380996 = 3748344^2 + 2443614^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-3 number, since 3×200213321233323 (a number of 41 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 20021332123296 and 20021332123305.
It is not an unprimeable number, because it can be changed into a prime (20021332123333) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278074057233 + ... + 278074057304.
Almost surely, 220021332123332 is an apocalyptic number.
It is an amenable number.
20021332123332 is an abundant number, since it is smaller than the sum of its proper divisors (30588146299626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20021332123332 is a wasteful number, since it uses less digits than its factorization.
20021332123332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 556148114547 (or 556148114542 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 20021332123332 its reverse (23332123312002), we get a palindrome (43353455435334).
The spelling of 20021332123332 in words is "twenty trillion, twenty-one billion, three hundred thirty-two million, one hundred twenty-three thousand, three hundred thirty-two".
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