Base | Representation |
---|---|
bin | 101111011111111011… |
… | …1110000011100101000 |
3 | 100202021210020011021011 |
4 | 1132333313300130220 |
5 | 3132400321444144 |
6 | 114505404553304 |
7 | 10240510564336 |
oct | 1367767603450 |
9 | 322253204234 |
10 | 102003312424 |
11 | 3a294235402 |
12 | 17928852834 |
13 | 9807876700 |
14 | 4d1913cb56 |
15 | 29c0053a34 |
hex | 17bfdf0728 |
102003312424 has 48 divisors (see below), whose sum is σ = 207484217820. Its totient is φ = 46991093760.
The previous prime is 102003312409. The next prime is 102003312443. The reversal of 102003312424 is 424213300201.
It can be written as a sum of positive squares in 6 ways, for example, as 3049027524 + 98954284900 = 55218^2 + 314570^2 .
It is a junction number, because it is equal to n+sod(n) for n = 102003312395 and 102003312404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661704 + ... + 801160.
Almost surely, 2102003312424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102003312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103742108910).
102003312424 is an abundant number, since it is smaller than the sum of its proper divisors (105480905396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102003312424 is a wasteful number, since it uses less digits than its factorization.
102003312424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140030 (or 140013 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
Adding to 102003312424 its reverse (424213300201), we get a palindrome (526216612625).
The spelling of 102003312424 in words is "one hundred two billion, three million, three hundred twelve thousand, four hundred twenty-four".
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