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2003332132021 = 112612293373517
BaseRepresentation
bin11101001001101111111…
…001100110110010110101
321002111221122211200210011
4131021233321212302311
5230310311011211041
64132152412100221
7264510303105463
oct35115771466265
97074848750704
102003332132021
11702676841a00
12284313a64671
13116bb49b6c1c
146cd67231833
15371a07cae81
hex1d26fe66cb5

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".

Divisors: 1 11 61 121 229 337 671 2519 3517 3707 7381 13969 20557 27709 38687 40777 77173 153659 214537 226127 425557 805393 848903 1185229 1690249 2359907 2487397 4707553 8859323 9337933 13037519 25958977 49128973 51783083 72298969 97452553 143412709 271417441 540418703 569613913 795288659 2985591851 5944605733 8748175249 16556463901 32841510361 182121102911 2003332132021