Base | Representation |
---|---|
bin | 1011100100010111… |
… | …0111000101010100 |
3 | 22000102012200000000 |
4 | 2321011313011110 |
5 | 22324430240200 |
6 | 1232045451300 |
7 | 136644536604 |
oct | 27105670524 |
9 | 8012180000 |
10 | 3105321300 |
11 | 1353966944 |
12 | 727b70b30 |
13 | 3a646c133 |
14 | 2165c0c04 |
15 | 13294a300 |
hex | b9177154 |
3105321300 has 162 divisors, whose sum is σ = 10109442798. Its totient is φ = 827910720.
The previous prime is 3105321283. The next prime is 3105321343. The reversal of 3105321300 is 31235013.
3105321300 is a `hidden beast` number, since 3 + 1 + 0 + 532 + 130 + 0 = 666.
3105321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 17740944 + 3087580356 = 4212^2 + 55566^2 .
It is a tau number, because it is divible by the number of its divisors (162).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 653734 + ... + 658466.
Almost surely, 23105321300 is an apocalyptic number.
3105321300 is a gapful number since it is divisible by the number (30) 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 3105321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054721399).
3105321300 is an abundant number, since it is smaller than the sum of its proper divisors (7004121498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3105321300 is an equidigital number, since it uses as much as digits as its factorization.
3105321300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4771 (or 4743 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 3105321300 is about 55725.4098235266. The cubic root of 3105321300 is about 1458.9335584928.
Adding to 3105321300 its reverse (31235013), we get a palindrome (3136556313).
The spelling of 3105321300 in words is "three billion, one hundred five million, three hundred twenty-one thousand, three hundred".
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