Base | Representation |
---|---|
bin | 100000110010010… |
… | …0011111100000000 |
3 | 2211200001001012021 |
4 | 1001210203330000 |
5 | 4223111302144 |
6 | 301055011224 |
7 | 36155503420 |
oct | 10144437400 |
9 | 2750031167 |
10 | 1100103424 |
11 | 514a85a92 |
12 | 268509b14 |
13 | 146bb8a94 |
14 | a6168480 |
15 | 668a6884 |
hex | 41923f00 |
1100103424 has 72 divisors (see below), whose sum is σ = 2528493408. Its totient is φ = 467927040.
The previous prime is 1100103421. The next prime is 1100103449. The reversal of 1100103424 is 4243010011.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1100103398 and 1100103407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100103421) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 243264 + ... + 247744.
It is an arithmetic number, because the mean of its divisors is an integer number (35117964).
Almost surely, 21100103424 is an apocalyptic number.
1100103424 is a gapful number since it is divisible by the number (14) 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 1100103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264246704).
1100103424 is an abundant number, since it is smaller than the sum of its proper divisors (1428389984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100103424 is an equidigital number, since it uses as much as digits as its factorization.
1100103424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4641 (or 4627 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 1100103424 is about 33167.8070423717. The cubic root of 1100103424 is about 1032.3124667269.
Adding to 1100103424 its reverse (4243010011), we get a palindrome (5343113435).
The spelling of 1100103424 in words is "one billion, one hundred million, one hundred three thousand, four hundred twenty-four".
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