Base | Representation |
---|---|
bin | 10010101010110101… |
… | …10011001011010001 |
3 | 221212112002100011200 |
4 | 21111122303023101 |
5 | 131011343221223 |
6 | 4334324101413 |
7 | 503244202212 |
oct | 112532631321 |
9 | 27775070150 |
10 | 10023023313 |
11 | 428380a846 |
12 | 1b38834869 |
13 | c396bba34 |
14 | 6b1237409 |
15 | 3d9e09a43 |
hex | 2556b32d1 |
10023023313 has 6 divisors (see below), whose sum is σ = 14477700354. Its totient is φ = 6682015536.
The previous prime is 10023023299. The next prime is 10023023347. The reversal of 10023023313 is 31332032001.
10023023313 is a `hidden beast` number, since 100 + 230 + 2 + 331 + 3 = 666.
10023023313 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 5955517584 + 4067505729 = 77172^2 + 63777^2 .
It is a de Polignac number, because none of the positive numbers 2k-10023023313 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (10023023363) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556834620 + ... + 556834637.
It is an arithmetic number, because the mean of its divisors is an integer number (2412950059).
Almost surely, 210023023313 is an apocalyptic number.
It is an amenable number.
10023023313 is a deficient number, since it is larger than the sum of its proper divisors (4454677041).
10023023313 is a wasteful number, since it uses less digits than its factorization.
10023023313 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1113669263 (or 1113669260 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10023023313 its reverse (31332032001), we get a palindrome (41355055314).
The spelling of 10023023313 in words is "ten billion, twenty-three million, twenty-three thousand, three hundred thirteen".
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