Base | Representation |
---|---|
bin | 10100010010101101… |
… | …010101110010100100 |
3 | 2002020111022020222001 |
4 | 110102231111302210 |
5 | 324110402241400 |
6 | 14002023415044 |
7 | 1400641665661 |
oct | 242255256244 |
9 | 62214266861 |
10 | 21788712100 |
11 | 9271183991 |
12 | 4280bb4484 |
13 | 2093144b6c |
14 | 10a9aa0a68 |
15 | 877ce4a6a |
hex | 512b55ca4 |
21788712100 has 81 divisors (see below), whose sum is σ = 49064516137. Its totient is φ = 8398418560.
The previous prime is 21788712097. The next prime is 21788712103. The reversal of 21788712100 is 121788712.
The square root of 21788712100 is 147610.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (21788712097) and next prime (21788712103).
It can be written as a sum of positive squares in 13 ways, for example, as 6235629156 + 15553082944 = 78966^2 + 124712^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 21788712100.
It is not an unprimeable number, because it can be changed into a prime (21788712103) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42806646 + ... + 42807154.
Almost surely, 221788712100 is an apocalyptic number.
21788712100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
21788712100 is the 147610-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21788712100
21788712100 is an abundant number, since it is smaller than the sum of its proper divisors (27275804037).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21788712100 is an equidigital number, since it uses as much as digits as its factorization.
21788712100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1090 (or 545 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 37.
Multiplying 21788712100 by its product of nonzero digits (12544), we get a square (273317604582400 = 165323202).
The spelling of 21788712100 in words is "twenty-one billion, seven hundred eighty-eight million, seven hundred twelve thousand, one hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •