Base | Representation |
---|---|
bin | 100000110110011… |
… | …1000011000000000 |
3 | 2211211010211210000 |
4 | 1001230320120000 |
5 | 4224141044123 |
6 | 301213440000 |
7 | 36213155550 |
oct | 10154703000 |
9 | 2754124700 |
10 | 1102284288 |
11 | 516235556 |
12 | 2691a0000 |
13 | 1474a0631 |
14 | a6575160 |
15 | 66b87b43 |
hex | 41b38600 |
1102284288 has 200 divisors, whose sum is σ = 3761022672. Its totient is φ = 314855424.
The previous prime is 1102284277. The next prime is 1102284289. The reversal of 1102284288 is 8824822011.
1102284288 is a `hidden beast` number, since 1 + 1 + 0 + 228 + 428 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1102284289) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288406 + ... + 292202.
Almost surely, 21102284288 is an apocalyptic number.
1102284288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1102284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880511336).
1102284288 is an abundant number, since it is smaller than the sum of its proper divisors (2658738384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1102284288 is an frugal number, since it uses more digits than its factorization.
1102284288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3834 (or 3809 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 1102284288 is about 33200.6669812520. Note that the first 3 decimals coincide. The cubic root of 1102284288 is about 1032.9941744612.
It can be divided in two parts, 1102 and 284288, that added together give a triangular number (285390 = T755).
The spelling of 1102284288 in words is "one billion, one hundred two million, two hundred eighty-four thousand, two hundred eighty-eight".
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