Base | Representation |
---|---|
bin | 111100001110000… |
… | …110111010100100 |
3 | 2121102010010222210 |
4 | 330032012322210 |
5 | 4032121100200 |
6 | 244130523420 |
7 | 34015450206 |
oct | 7416067244 |
9 | 2542103883 |
10 | 1010331300 |
11 | 47933a950 |
12 | 242436570 |
13 | 131416794 |
14 | 9827a776 |
15 | 5da72650 |
hex | 3c386ea4 |
1010331300 has 144 divisors (see below), whose sum is σ = 3206294784. Its totient is φ = 243600000.
The previous prime is 1010331277. The next prime is 1010331331. The reversal of 1010331300 is 31330101.
1010331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695575 + ... + 697025.
It is an arithmetic number, because the mean of its divisors is an integer number (22265936).
Almost surely, 21010331300 is an apocalyptic number.
1010331300 is a gapful number since it is divisible by the number (10) 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 1010331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603147392).
1010331300 is an abundant number, since it is smaller than the sum of its proper divisors (2195963484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010331300 is a wasteful number, since it uses less digits than its factorization.
1010331300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1690 (or 1683 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 12.
The square root of 1010331300 is about 31785.7090529691. The cubic root of 1010331300 is about 1003.4319747416.
Adding to 1010331300 its reverse (31330101), we get a palindrome (1041661401).
The spelling of 1010331300 in words is "one billion, ten million, three hundred thirty-one thousand, three hundred".
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