Base | Representation |
---|---|
bin | 111101000010101… |
… | …101111010000100 |
3 | 2122101001210221222 |
4 | 331002231322010 |
5 | 4044133410000 |
6 | 245342255512 |
7 | 34243616612 |
oct | 7502557204 |
9 | 2571053858 |
10 | 1024122500 |
11 | 4860aa435 |
12 | 246b87598 |
13 | 134234b5b |
14 | 9a02a6b2 |
15 | 5ed98a85 |
hex | 3d0ade84 |
1024122500 has 60 divisors (see below), whose sum is σ = 2371387788. Its totient is φ = 385536000.
The previous prime is 1024122457. The next prime is 1024122521. The reversal of 1024122500 is 52214201.
1024122500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 488940544 + 535181956 = 22112^2 + 23134^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30452 + ... + 54548.
Almost surely, 21024122500 is an apocalyptic number.
1024122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1024122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185693894).
1024122500 is an abundant number, since it is smaller than the sum of its proper divisors (1347265288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024122500 is a wasteful number, since it uses less digits than its factorization.
1024122500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24138 (or 24121 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 1024122500 is about 32001.9140052591. The cubic root of 1024122500 is about 1007.9770311072.
Adding to 1024122500 its reverse (52214201), we get a palindrome (1076336701).
It can be divided in two parts, 1024 and 122500, that multiplied together give a square (125440000 = 112002).
The spelling of 1024122500 in words is "one billion, twenty-four million, one hundred twenty-two thousand, five hundred".
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