Base | Representation |
---|---|
bin | 1001101001100101100010… |
… | …01000000001010100000000 |
3 | 2210010121210221220011011011 |
4 | 10310302301020001110000 |
5 | 10240132241142041000 |
6 | 113044214540130304 |
7 | 4320050052611032 |
oct | 464626110012400 |
9 | 83117727804134 |
10 | 21220110112000 |
11 | 6841441a509a8 |
12 | 2468723b36994 |
13 | bac08101a6a7 |
14 | 5350b7531c52 |
15 | 26beb52dd2ba |
hex | 134cb1201500 |
21220110112000 has 144 divisors (see below), whose sum is σ = 53042386439952. Its totient is φ = 8459070873600.
The previous prime is 21220110111971. The next prime is 21220110112021. The reversal of 21220110112000 is 21101102212.
It can be written as a sum of positive squares in 8 ways, for example, as 6442174964736 + 14777935147264 = 2538144^2 + 3844208^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8244382 + ... + 10507618.
It is an arithmetic number, because the mean of its divisors is an integer number (368349905833).
Almost surely, 221220110112000 is an apocalyptic number.
21220110112000 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 21220110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521193219976).
21220110112000 is an abundant number, since it is smaller than the sum of its proper divisors (31822276327952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21220110112000 is an equidigital number, since it uses as much as digits as its factorization.
21220110112000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2263561 (or 2263537 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 13.
Adding to 21220110112000 its reverse (21101102212), we get a palindrome (21241211214212).
The spelling of 21220110112000 in words is "twenty-one trillion, two hundred twenty billion, one hundred ten million, one hundred twelve thousand".
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