Base | Representation |
---|---|
bin | 10010101010111010… |
… | …00001011111100001 |
3 | 221212120011221210121 |
4 | 21111131001133201 |
5 | 131012020344431 |
6 | 4334344400241 |
7 | 503252150545 |
oct | 112535013741 |
9 | 27776157717 |
10 | 10023606241 |
11 | 4284078800 |
12 | 1b38a76081 |
13 | c3986416c |
14 | 6b1349a25 |
15 | 3d9ec2611 |
hex | 2557417e1 |
10023606241 has 48 divisors (see below), whose sum is σ = 11901665664. Its totient is φ = 8413856000.
The previous prime is 10023606223. The next prime is 10023606251. The reversal of 10023606241 is 14260632001.
10023606241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10023606241 - 213 = 10023598049 is a prime.
It is a super-3 number, since 3×100236062413 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10023606251) 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 47 ways as a sum of consecutive naturals, for example, 12208611 + ... + 12209431.
It is an arithmetic number, because the mean of its divisors is an integer number (247951368).
Almost surely, 210023606241 is an apocalyptic number.
10023606241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10023606241 is a deficient number, since it is larger than the sum of its proper divisors (1878059423).
10023606241 is a wasteful number, since it uses less digits than its factorization.
10023606241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The spelling of 10023606241 in words is "ten billion, twenty-three million, six hundred six thousand, two hundred forty-one".
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