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2003122331319 = 337193550716979
BaseRepresentation
bin11101001001100011011…
…001010001111010110111
321002111102001001201022210
4131021203121101322313
5230304343304100234
64132115515224503
7264502144611564
oct35114331217267
97074361051283
102003122331319
1170257937559a
12284275748133
13116b803aa9b5
146cd4741b86b
153718c187be9
hex1d263651eb7

2003122331319 has 32 divisors (see below), whose sum is σ = 2757889969920. Its totient is φ = 1292279519232.

The previous prime is 2003122331317. The next prime is 2003122331363. The reversal of 2003122331319 is 9131332213002.

It is not a de Polignac number, because 2003122331319 - 21 = 2003122331317 is a prime.

It is a super-2 number, since 2×20031223313192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003122331311) 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, 117967972 + ... + 117984950.

It is an arithmetic number, because the mean of its divisors is an integer number (86184061560).

Almost surely, 22003122331319 is an apocalyptic number.

2003122331319 is a deficient number, since it is larger than the sum of its proper divisors (754767638601).

2003122331319 is a wasteful number, since it uses less digits than its factorization.

2003122331319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22719.

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 2003122331319 in words is "two trillion, three billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 37 111 193 579 5507 7141 16521 16979 21423 50937 203759 611277 628223 1062851 1884669 3188553 3276947 9830841 39325487 93503353 117976461 121247039 280510059 363741117 3459624061 10378872183 18046147129 54138441387 667707443773 2003122331319