Base | Representation |
---|---|
bin | 10010101010110110… |
… | …01011100011000101 |
3 | 221212112021102010000 |
4 | 21111123023203011 |
5 | 131011404420031 |
6 | 4334330151513 |
7 | 503245066233 |
oct | 112533134305 |
9 | 27775242100 |
10 | 10023123141 |
11 | 4283878849 |
12 | 1b38882599 |
13 | c397252c5 |
14 | 6b1261953 |
15 | 3d9e293e6 |
hex | 2556cb8c5 |
10023123141 has 40 divisors (see below), whose sum is σ = 15340786560. Its totient is φ = 6518268288.
The previous prime is 10023123059. The next prime is 10023123157. The reversal of 10023123141 is 14132132001.
10023123141 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 is not a de Polignac number, because 10023123141 - 211 = 10023121093 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023123191) 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 39 ways as a sum of consecutive naturals, for example, 3840445 + ... + 3843053.
It is an arithmetic number, because the mean of its divisors is an integer number (383519664).
Almost surely, 210023123141 is an apocalyptic number.
It is an amenable number.
10023123141 is a deficient number, since it is larger than the sum of its proper divisors (5317663419).
10023123141 is a wasteful number, since it uses less digits than its factorization.
10023123141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3767 (or 3758 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10023123141 its reverse (14132132001), we get a palindrome (24155255142).
The spelling of 10023123141 in words is "ten billion, twenty-three million, one hundred twenty-three thousand, one hundred forty-one".
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