| Base | Representation |
|---|---|
| bin | 10011010001001111… |
| … | …00000110111101001 |
| 3 | 222200222011201022000 |
| 4 | 21220213200313221 |
| 5 | 132141322421210 |
| 6 | 4430311521213 |
| 7 | 514235045226 |
| oct | 115047406751 |
| 9 | 28628151260 |
| 10 | 10345123305 |
| 11 | 4429609290 |
| 12 | 2008689209 |
| 13 | c8b356a4a |
| 14 | 701d2094d |
| 15 | 408331ac0 |
| hex | 2689e0de9 |
10345123305 has 128 divisors (see below), whose sum is σ = 21930393600. Its totient is φ = 4568140800.
The previous prime is 10345123303. The next prime is 10345123357. The reversal of 10345123305 is 50332154301.
10345123305 is a `hidden beast` number, since 1 + 0 + 345 + 12 + 3 + 305 = 666.
10345123305 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 10345123305 - 21 = 10345123303 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10345123301) 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 127 ways as a sum of consecutive naturals, for example, 775986 + ... + 789204.
It is an arithmetic number, because the mean of its divisors is an integer number (171331200).
Almost surely, 210345123305 is an apocalyptic number.
10345123305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
10345123305 is an abundant number, since it is smaller than the sum of its proper divisors (11585270295).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10345123305 is a wasteful number, since it uses less digits than its factorization.
10345123305 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13292 (or 13286 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
Adding to 10345123305 its reverse (50332154301), we get a palindrome (60677277606).
It can be divided in two parts, 103451 and 23305, that added together give a triangular number (126756 = T503).
The spelling of 10345123305 in words is "ten billion, three hundred forty-five million, one hundred twenty-three thousand, three hundred five".
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