| Base | Representation |
|---|---|
| bin | 10011110101101000… |
| … | …110111011101100000 |
| 3 | 2000222111120220210010 |
| 4 | 103311220313131200 |
| 5 | 322111024000112 |
| 6 | 13441402204520 |
| 7 | 1352600340624 |
| oct | 236550673540 |
| 9 | 60874526703 |
| 10 | 21301000032 |
| 11 | 904094a664 |
| 12 | 41657b3740 |
| 13 | 20160a2b40 |
| 14 | 1060dc7184 |
| 15 | 84a0a763c |
| hex | 4f5a37760 |
21301000032 has 96 divisors (see below), whose sum is σ = 60254288640. Its totient is φ = 6550018560.
The previous prime is 21301000027. The next prime is 21301000037. The reversal of 21301000032 is 23000010312.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (21301000027) and next prime (21301000037).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 21300999981 and 21301000017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21301000037) 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 15 ways as a sum of consecutive naturals, for example, 2405469 + ... + 2414307.
It is an arithmetic number, because the mean of its divisors is an integer number (627648840).
Almost surely, 221301000032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21301000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30127144320).
21301000032 is an abundant number, since it is smaller than the sum of its proper divisors (38953288608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21301000032 is a wasteful number, since it uses less digits than its factorization.
21301000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10796 (or 10788 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 21301000032 its reverse (23000010312), we get a palindrome (44301010344).
The spelling of 21301000032 in words is "twenty-one billion, three hundred one million, thirty-two", and thus it is an aban number.
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