| Base | Representation |
|---|---|
| bin | 1100110111010111100… |
| … | …0001111100001010000 |
| 3 | 210010111100000122011100 |
| 4 | 3031311320033201100 |
| 5 | 12110122334310000 |
| 6 | 245311411144400 |
| 7 | 21653051405310 |
| oct | 3156570174120 |
| 9 | 703440018140 |
| 10 | 221021010000 |
| 11 | 8580966413a |
| 12 | 36a035a5100 |
| 13 | 17ac43ac02b |
| 14 | a9a9c23440 |
| 15 | 5b38b71a00 |
| hex | 3375e0f850 |
221021010000 has 600 divisors, whose sum is σ = 911938886144. Its totient is φ = 48885120000.
The previous prime is 221021009971. The next prime is 221021010019. The reversal of 221021010000 is 10120122.
221021010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (600).
It is a super-2 number, since 2×2210210100002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19524342 + ... + 19535658.
Almost surely, 2221021010000 is an apocalyptic number.
221021010000 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 221021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455969443072).
221021010000 is an abundant number, since it is smaller than the sum of its proper divisors (690917876144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221021010000 is a wasteful number, since it uses less digits than its factorization.
221021010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11389 (or 11365 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 221021010000 its reverse (10120122), we get a palindrome (221031130122).
The spelling of 221021010000 in words is "two hundred twenty-one billion, twenty-one million, ten thousand".
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