Base | Representation |
---|---|
bin | 1001101011111010111001… |
… | …11001001101001100111100 |
3 | 2210102021210121210122121200 |
4 | 10311331130321031030330 |
5 | 10242441004114233040 |
6 | 113145120124055500 |
7 | 4325616215624241 |
oct | 465753471151474 |
9 | 83367717718550 |
10 | 21300301321020 |
11 | 6872452886167 |
12 | 2480183994590 |
13 | bb67c094c327 |
14 | 538d238415c8 |
15 | 26e10a47b630 |
hex | 135f5ce4d33c |
21300301321020 has 144 divisors (see below), whose sum is σ = 68020654141440. Its totient is φ = 5380403557248.
The previous prime is 21300301320973. The next prime is 21300301321031. The reversal of 21300301321020 is 2012310300312.
21300301321020 is a `hidden beast` number, since 2 + 1 + 300 + 301 + 32 + 10 + 20 = 666.
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 = 21300301320984 and 21300301321002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25189609 + ... + 26021471.
It is an arithmetic number, because the mean of its divisors is an integer number (472365653760).
Almost surely, 221300301321020 is an apocalyptic number.
21300301321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21300301321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010327070720).
21300301321020 is an abundant number, since it is smaller than the sum of its proper divisors (46720352820420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21300301321020 is a wasteful number, since it uses less digits than its factorization.
21300301321020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 839384 (or 839379 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 21300301321020 its reverse (2012310300312), we get a palindrome (23312611621332).
The spelling of 21300301321020 in words is "twenty-one trillion, three hundred billion, three hundred one million, three hundred twenty-one thousand, twenty".
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