Base | Representation |
---|---|
bin | 10010101010110101… |
… | …10101110111001001 |
3 | 221212112002220021002 |
4 | 21111122311313021 |
5 | 131011344044223 |
6 | 4334324224345 |
7 | 503244246245 |
oct | 112532656711 |
9 | 27775086232 |
10 | 10023034313 |
11 | 4283818036 |
12 | 1b3883b0b5 |
13 | c396c3a46 |
14 | 6b123b425 |
15 | 3d9e0ce28 |
hex | 2556b5dc9 |
10023034313 has 4 divisors (see below), whose sum is σ = 10023733908. Its totient is φ = 10022334720.
The previous prime is 10023034279. The next prime is 10023034321. The reversal of 10023034313 is 31343032001.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31343032001 = 37 ⋅847108973.
It can be written as a sum of positive squares in 2 ways, for example, as 3572213824 + 6450820489 = 59768^2 + 80317^2 .
It is a cyclic number.
It is not a de Polignac number, because 10023034313 - 26 = 10023034249 is a prime.
It is a super-2 number, since 2×100230343132 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10023034213) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327848 + ... + 357113.
It is an arithmetic number, because the mean of its divisors is an integer number (2505933477).
Almost surely, 210023034313 is an apocalyptic number.
It is an amenable number.
10023034313 is a deficient number, since it is larger than the sum of its proper divisors (699595).
10023034313 is an equidigital number, since it uses as much as digits as its factorization.
10023034313 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 699594.
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 10023034313 its reverse (31343032001), we get a palindrome (41366066314).
The spelling of 10023034313 in words is "ten billion, twenty-three million, thirty-four thousand, three hundred thirteen".
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