Base | Representation |
---|---|
bin | 111100111111100… |
… | …101011000000101 |
3 | 2122022112002020200 |
4 | 330333211120011 |
5 | 4043431114000 |
6 | 245312521113 |
7 | 34233626130 |
oct | 7477453005 |
9 | 2568462220 |
10 | 1023301125 |
11 | 485699310 |
12 | 246850199 |
13 | 134008032 |
14 | 99c95217 |
15 | 5ec85500 |
hex | 3cfe5605 |
1023301125 has 96 divisors (see below), whose sum is σ = 2300044032. Its totient is φ = 425232000.
The previous prime is 1023301109. The next prime is 1023301151. The reversal of 1023301125 is 5211033201.
It is not a de Polignac number, because 1023301125 - 24 = 1023301109 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 1023301098 and 1023301107.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 80719 + ... + 92531.
It is an arithmetic number, because the mean of its divisors is an integer number (23958792).
Almost surely, 21023301125 is an apocalyptic number.
1023301125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
1023301125 is an abundant number, since it is smaller than the sum of its proper divisors (1276742907).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023301125 is a wasteful number, since it uses less digits than its factorization.
1023301125 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11852 (or 11839 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 1023301125 is about 31989.0782142906. The cubic root of 1023301125 is about 1007.7074837393.
Adding to 1023301125 its reverse (5211033201), we get a palindrome (6234334326).
The spelling of 1023301125 in words is "one billion, twenty-three million, three hundred one thousand, one hundred twenty-five".
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