| Base | Representation |
|---|---|
| bin | 10100100001110010… |
| … | …00001000110010000 |
| 3 | 1001110001120200000121 |
| 4 | 22100321001012100 |
| 5 | 140032311103100 |
| 6 | 5021330000024 |
| 7 | 540051154261 |
| oct | 122071010620 |
| 9 | 31401520017 |
| 10 | 11020800400 |
| 11 | 4745a55505 |
| 12 | 2176a16014 |
| 13 | 106832b18c |
| 14 | 767966968 |
| 15 | 4477ec51a |
| hex | 290e41190 |
11020800400 has 135 divisors (see below), whose sum is σ = 27574312233. Its totient is φ = 4232793600.
The previous prime is 11020800379. The next prime is 11020800433. The reversal of 11020800400 is 400802011.
It is a happy number.
The square root of 11020800400 is 104980.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 11019120784 + 1679616 = 104972^2 + 1296^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60888310 + ... + 60888490.
Almost surely, 211020800400 is an apocalyptic number.
11020800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
11020800400 is the 104980-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11020800400
11020800400 is an abundant number, since it is smaller than the sum of its proper divisors (16553511833).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11020800400 is an equidigital number, since it uses as much as digits as its factorization.
11020800400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 438 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Multiplying 11020800400 by its sum of digits (16), we get a square (176332806400 = 4199202).
11020800400 divided by its sum of digits (16) gives a square (688800025 = 262452).
Multiplying 11020800400 by its product of nonzero digits (64), we get a square (705331225600 = 8398402).
The spelling of 11020800400 in words is "eleven billion, twenty million, eight hundred thousand, four hundred".
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