Base | Representation |
---|---|
bin | 10011111100110011… |
… | …111001001000111000 |
3 | 2001021220000100211122 |
4 | 103330303321020320 |
5 | 322332330043000 |
6 | 13501341244412 |
7 | 1355561211026 |
oct | 237463711070 |
9 | 61256010748 |
10 | 21421331000 |
11 | 90a2868043 |
12 | 4199b63708 |
13 | 2034cb45b4 |
14 | 1072d8b716 |
15 | 855926085 |
hex | 4fccf9238 |
21421331000 has 128 divisors (see below), whose sum is σ = 51433574400. Its totient is φ = 8346755200.
The previous prime is 21421330999. The next prime is 21421331003. The reversal of 21421331000 is 13312412.
It is a super-2 number, since 2×214213310002 (a number of 21 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 21421331000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21421331003) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 11232047 + ... + 11233953.
It is an arithmetic number, because the mean of its divisors is an integer number (401824800).
Almost surely, 221421331000 is an apocalyptic number.
21421331000 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 21421331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25716787200).
21421331000 is an abundant number, since it is smaller than the sum of its proper divisors (30012243400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21421331000 is a wasteful number, since it uses less digits than its factorization.
21421331000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2214 (or 2200 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 21421331000 its reverse (13312412), we get a palindrome (21434643412).
The spelling of 21421331000 in words is "twenty-one billion, four hundred twenty-one million, three hundred thirty-one thousand".
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