Base | Representation |
---|---|
bin | 11101001001101111111… |
… | …001100110110010110101 |
3 | 21002111221122211200210011 |
4 | 131021233321212302311 |
5 | 230310311011211041 |
6 | 4132152412100221 |
7 | 264510303105463 |
oct | 35115771466265 |
9 | 7074848750704 |
10 | 2003332132021 |
11 | 702676841a00 |
12 | 284313a64671 |
13 | 116bb49b6c1c |
14 | 6cd67231833 |
15 | 371a07cae81 |
hex | 1d26fe66cb5 |
2003332132021 has 48 divisors (see below), whose sum is σ = 2255192932720. Its totient is φ = 1777734604800.
The previous prime is 2003332132003. The next prime is 2003332132027. The reversal of 2003332132021 is 1202312333002.
It can be written as a sum of positive squares in 8 ways, for example, as 33547951921 + 1969784180100 = 183161^2 + 1403490^2 .
It is not a de Polignac number, because 2003332132021 - 27 = 2003332131893 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2003332131983 and 2003332132001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2003332132027) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569612155 + ... + 569615671.
Almost surely, 22003332132021 is an apocalyptic number.
It is an amenable number.
2003332132021 is a deficient number, since it is larger than the sum of its proper divisors (251860800699).
2003332132021 is a wasteful number, since it uses less digits than its factorization.
2003332132021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4166 (or 4155 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 22.
Adding to 2003332132021 its reverse (1202312333002), we get a palindrome (3205644465023).
The spelling of 2003332132021 in words is "two trillion, three billion, three hundred thirty-two million, one hundred thirty-two thousand, twenty-one".
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