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2003302131131 = 75973609110909
BaseRepresentation
bin11101001001101110000…
…111001010010110111011
321002111212120101111022002
4131021232013022112323
5230310230321144011
64132145421051215
7264506460104360
oct35115607122673
97074776344262
102003302131131
11702660910884
122843059b6b0b
13116bab711712
146cd63262467
153719cd51c3b
hex1d26e1ca5bb

2003302131131 has 32 divisors (see below), whose sum is σ = 2360791334400. Its totient is φ = 1664463064320.

The previous prime is 2003302131119. The next prime is 2003302131139. The reversal of 2003302131131 is 1311312033002.

It is not a de Polignac number, because 2003302131131 - 214 = 2003302114747 is a prime.

It is a super-2 number, since 2×20033021311312 (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 (2003302131139) 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 31 ways as a sum of consecutive naturals, for example, 183632105 + ... + 183643013.

It is an arithmetic number, because the mean of its divisors is an integer number (73774729200).

Almost surely, 22003302131131 is an apocalyptic number.

2003302131131 is a deficient number, since it is larger than the sum of its proper divisors (357489203269).

2003302131131 is a wasteful number, since it uses less digits than its factorization.

2003302131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2003302131131 its reverse (1311312033002), we get a palindrome (3314614164133).

The spelling of 2003302131131 in words is "two trillion, three billion, three hundred two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 59 73 413 511 4307 6091 10909 30149 42637 76363 359369 444643 643631 796357 2515583 3112501 4505417 5574499 26233937 46985063 66446719 183637559 328895441 465127033 3920356421 4850610487 27442494947 33954273409 286186018733 2003302131131