Base | Representation |
---|---|
bin | 111100111110100… |
… | …011100000010001 |
3 | 2122022000101010122 |
4 | 330332203200101 |
5 | 4043344000223 |
6 | 245303040025 |
7 | 34231423403 |
oct | 7476434021 |
9 | 2568011118 |
10 | 1023031313 |
11 | 485524627 |
12 | 246740015 |
13 | 133c42295 |
14 | 99c24b73 |
15 | 5ec305c8 |
hex | 3cfa3811 |
1023031313 has 4 divisors (see below), whose sum is σ = 1023121008. Its totient is φ = 1022941620.
The previous prime is 1023031223. The next prime is 1023031333. The reversal of 1023031313 is 3131303201.
1023031313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3131303201 = 13 ⋅240869477.
It is a cyclic number.
It is not a de Polignac number, because 1023031313 - 212 = 1023027217 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 1023031291 and 1023031300.
It is not an unprimeable number, because it can be changed into a prime (1023031333) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24731 + ... + 51552.
It is an arithmetic number, because the mean of its divisors is an integer number (255780252).
Almost surely, 21023031313 is an apocalyptic number.
It is an amenable number.
1023031313 is a deficient number, since it is larger than the sum of its proper divisors (89695).
1023031313 is an equidigital number, since it uses as much as digits as its factorization.
1023031313 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89694.
The product of its (nonzero) digits is 162, while the sum is 17.
The square root of 1023031313 is about 31984.8606843925. The cubic root of 1023031313 is about 1007.6189091367.
Adding to 1023031313 its reverse (3131303201), we get a palindrome (4154334514).
The spelling of 1023031313 in words is "one billion, twenty-three million, thirty-one thousand, three hundred thirteen".
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