Base | Representation |
---|---|
bin | 10011111000000001… |
… | …011101001010000000 |
3 | 2001002021212010212021 |
4 | 103320001131022000 |
5 | 322201244002240 |
6 | 13445351411224 |
7 | 1353564336553 |
oct | 237001351200 |
9 | 61067763767 |
10 | 21341000320 |
11 | 9061490452 |
12 | 4177083b14 |
13 | 2021469853 |
14 | 106643a69a |
15 | 84d85954a |
hex | 4f805d280 |
21341000320 has 64 divisors (see below), whose sum is σ = 54019434600. Its totient is φ = 8034254848.
The previous prime is 21341000309. The next prime is 21341000321. The reversal of 21341000320 is 2300014312.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 21229655616 + 111344704 = 145704^2 + 10552^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 21341000294 and 21341000303.
It is not an unprimeable number, because it can be changed into a prime (21341000321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969865 + ... + 991624.
Almost surely, 221341000320 is an apocalyptic number.
21341000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
21341000320 is an abundant number, since it is smaller than the sum of its proper divisors (32678434280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21341000320 is a wasteful number, since it uses less digits than its factorization.
21341000320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1961525 (or 1961513 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 21341000320 its reverse (2300014312), we get a palindrome (23641014632).
The spelling of 21341000320 in words is "twenty-one billion, three hundred forty-one million, three hundred twenty", and thus it is an aban number.
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