Base | Representation |
---|---|
bin | 1001100011110100101101… |
… | …10111010001111000101000 |
3 | 2202102200201100212002021111 |
4 | 10301322112313101320220 |
5 | 10223411230330121300 |
6 | 112413230410120104 |
7 | 4266540155241100 |
oct | 461722667217050 |
9 | 82380640762244 |
10 | 21022101020200 |
11 | 6775471a87585 |
12 | 2436283120034 |
13 | b964b6311507 |
14 | 529691a20200 |
15 | 266c76a329ba |
hex | 131e96dd1e28 |
21022101020200 has 144 divisors (see below), whose sum is σ = 56879259165180. Its totient is φ = 7204654679040.
The previous prime is 21022101020149. The next prime is 21022101020251. The reversal of 21022101020200 is 202010122012.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (21022101020149) and next prime (21022101020251).
It can be written as a sum of positive squares in 6 ways, for example, as 12817073048836 + 8205027971364 = 3580094^2 + 2864442^2 .
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 23801694 + ... + 24669106.
Almost surely, 221022101020200 is an apocalyptic number.
21022101020200 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 21022101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439629582590).
21022101020200 is an abundant number, since it is smaller than the sum of its proper divisors (35857158144980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21022101020200 is a wasteful number, since it uses less digits than its factorization.
21022101020200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 869916 (or 869900 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 21022101020200 its reverse (202010122012), we get a palindrome (21224111142212).
The spelling of 21022101020200 in words is "twenty-one trillion, twenty-two billion, one hundred one million, twenty thousand, two hundred".
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