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2003123123131 = 131093134516411
BaseRepresentation
bin11101001001100011011…
…100010011001110111011
321002111102002112221111011
4131021203130103032323
5230304344004420011
64132115544214351
7264502154420224
oct35114334231673
97074362487434
102003123123131
11702579866489
12284275a6a3b7
13116b805c7220
146cd4758624b
153718c292621
hex1d2637133bb

2003123123131 has 16 divisors (see below), whose sum is σ = 2183956186720. Its totient is φ = 1826219416320.

The previous prime is 2003123123129. The next prime is 2003123123137. The reversal of 2003123123131 is 1313213213002.

It is not a de Polignac number, because 2003123123131 - 21 = 2003123123129 is a prime.

It is a super-2 number, since 2×20031231231312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003123123137) 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 15 ways as a sum of consecutive naturals, for example, 1814685 + ... + 2701726.

It is an arithmetic number, because the mean of its divisors is an integer number (136497261670).

Almost surely, 22003123123131 is an apocalyptic number.

2003123123131 is a deficient number, since it is larger than the sum of its proper divisors (180833063589).

2003123123131 is a wasteful number, since it uses less digits than its factorization.

2003123123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516846.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2003123123131 its reverse (1313213213002), we get a palindrome (3316336336133).

The spelling of 2003123123131 in words is "two trillion, three billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 13 109 313 1417 4069 34117 443521 4516411 58713343 492288799 1413636643 6399754387 18377276359 154086394087 2003123123131