Base | Representation |
---|---|
bin | 100000110010101… |
… | …1000000000000000 |
3 | 2211200102212201100 |
4 | 1001211120000000 |
5 | 4223140113142 |
6 | 301103334400 |
7 | 36160352220 |
oct | 10145300000 |
9 | 2750385640 |
10 | 1100316672 |
11 | 515111224 |
12 | 2685b1400 |
13 | 146c61b70 |
14 | a61c2080 |
15 | 668e9b4c |
hex | 41958000 |
1100316672 has 384 divisors, whose sum is σ = 4007596320. Its totient is φ = 283115520.
The previous prime is 1100316647. The next prime is 1100316673. The reversal of 1100316672 is 2766130011.
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100316673) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26836972 + ... + 26837012.
Almost surely, 21100316672 is an apocalyptic number.
1100316672 is a gapful number since it is divisible by the number (12) 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 1100316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003798160).
1100316672 is an abundant number, since it is smaller than the sum of its proper divisors (2907279648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100316672 is an equidigital number, since it uses as much as digits as its factorization.
1100316672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The square root of 1100316672 is about 33171.0215700391. The cubic root of 1100316672 is about 1032.3791648032.
Adding to 1100316672 its reverse (2766130011), we get a palindrome (3866446683).
The spelling of 1100316672 in words is "one billion, one hundred million, three hundred sixteen thousand, six hundred seventy-two".
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