Base | Representation |
---|---|
bin | 10010101010110101… |
… | …10101100100100011 |
3 | 221212112002211122000 |
4 | 21111122311210203 |
5 | 131011344024443 |
6 | 4334324215043 |
7 | 503244242625 |
oct | 112532654443 |
9 | 27775084560 |
10 | 10023033123 |
11 | 4283817154 |
12 | 1b3883a483 |
13 | c396c333c |
14 | 6b123ac15 |
15 | 3d9e0c8d3 |
hex | 2556b5923 |
10023033123 has 32 divisors (see below), whose sum is σ = 15052646400. Its totient is φ = 6590533248.
The previous prime is 10023033113. The next prime is 10023033133. The reversal of 10023033123 is 32133032001.
10023033123 is a `hidden beast` number, since 100 + 230 + 331 + 2 + 3 = 666.
10023033123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10023033113) and next prime (10023033133).
It is not a de Polignac number, because 10023033123 - 25 = 10023033091 is a prime.
It is a super-2 number, since 2×100230331232 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10023033096 and 10023033105.
It is not an unprimeable number, because it can be changed into a prime (10023033113) 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 31 ways as a sum of consecutive naturals, for example, 2764690 + ... + 2768312.
It is an arithmetic number, because the mean of its divisors is an integer number (470395200).
Almost surely, 210023033123 is an apocalyptic number.
10023033123 is a deficient number, since it is larger than the sum of its proper divisors (5029613277).
10023033123 is a wasteful number, since it uses less digits than its factorization.
10023033123 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5008 (or 5002 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 10023033123 its reverse (32133032001), we get a palindrome (42156065124).
The spelling of 10023033123 in words is "ten billion, twenty-three million, thirty-three thousand, one hundred twenty-three".
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