Base | Representation |
---|---|
bin | 1001100011001011100101… |
… | …01110110111110101110000 |
3 | 2202100120201111112001010200 |
4 | 10301211302232313311300 |
5 | 10223031020110000422 |
6 | 112355135341155200 |
7 | 4265126033540166 |
oct | 461456256676560 |
9 | 82316644461120 |
10 | 21000020000112 |
11 | 676707090334a |
12 | 2431b4025bb00 |
13 | b943a7762a5a |
14 | 5285991cd236 |
15 | 2663d324d2ac |
hex | 131972bb7d70 |
21000020000112 has 120 divisors (see below), whose sum is σ = 59088909250800. Its totient is φ = 6962216208384.
The previous prime is 21000020000111. The next prime is 21000020000129. The reversal of 21000020000112 is 21100002000012.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 21000020000094 and 21000020000103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21000020000111) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22513339 + ... + 23427557.
It is an arithmetic number, because the mean of its divisors is an integer number (492407577090).
Almost surely, 221000020000112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21000020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544454625400).
21000020000112 is an abundant number, since it is smaller than the sum of its proper divisors (38088889250688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21000020000112 is a wasteful number, since it uses less digits than its factorization.
21000020000112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 915095 (or 915086 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 21000020000112 its reverse (21100002000012), we get a palindrome (42100022000124).
The spelling of 21000020000112 in words is "twenty-one trillion, twenty million, one hundred twelve", and thus it is an aban number.
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