Base | Representation |
---|---|
bin | 10011101010010111… |
… | …111000111001110000 |
3 | 2000111022221201122002 |
4 | 103222113320321300 |
5 | 321214133000422 |
6 | 13410531233132 |
7 | 1345114016510 |
oct | 235227707160 |
9 | 60438851562 |
10 | 21112000112 |
11 | 8a541a0185 |
12 | 41124487a8 |
13 | 1cb5b9a678 |
14 | 1043c69840 |
15 | 8386c2692 |
hex | 4ea5f8e70 |
21112000112 has 80 divisors (see below), whose sum is σ = 48140918784. Its totient is φ = 8780736000.
The previous prime is 21112000109. The next prime is 21112000123. The reversal of 21112000112 is 21100021112.
It is a junction number, because it is equal to n+sod(n) for n = 21112000093 and 21112000102.
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 15 ways as a sum of consecutive naturals, for example, 865037 + ... + 889107.
Almost surely, 221112000112 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 21112000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24070459392).
21112000112 is an abundant number, since it is smaller than the sum of its proper divisors (27028918672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21112000112 is a wasteful number, since it uses less digits than its factorization.
21112000112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24318 (or 24312 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
Adding to 21112000112 its reverse (21100021112), we get a palindrome (42212021224).
The spelling of 21112000112 in words is "twenty-one billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.
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