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2004533131341 = 31325217588703
BaseRepresentation
bin11101001010110111011…
…111000011100001001101
321002122001100201210010110
4131022313133003201031
5230320240440200331
64132511513430233
7264552125325306
oct35126737034115
97078040653113
102004533131341
11703132770524
122845aa10b379
1311704676b200
146d03c9417ad
1537220e62946
hex1d2b77c384d

2004533131341 has 24 divisors (see below), whose sum is σ = 2899674153216. Its totient is φ = 1231191012480.

The previous prime is 2004533131333. The next prime is 2004533131343. The reversal of 2004533131341 is 1431313354002.

It is a happy number.

It is not a de Polignac number, because 2004533131341 - 23 = 2004533131333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2004533131299 and 2004533131308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004533131343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3530205 + ... + 4058498.

It is an arithmetic number, because the mean of its divisors is an integer number (120819756384).

Almost surely, 22004533131341 is an apocalyptic number.

It is an amenable number.

2004533131341 is a deficient number, since it is larger than the sum of its proper divisors (895141021875).

2004533131341 is a wasteful number, since it uses less digits than its factorization.

2004533131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589253 (or 7589240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 2004533131341 its reverse (1431313354002), we get a palindrome (3435846485343).

The spelling of 2004533131341 in words is "two trillion, four billion, five hundred thirty-three million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 13 39 169 507 521 1563 6773 20319 88049 264147 7588703 22766109 98653139 295959417 1282490807 3847472421 3953714263 11861142789 51398285419 154194856257 668177710447 2004533131341