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2003122331317 is a prime number
BaseRepresentation
bin11101001001100011011…
…001010001111010110101
321002111102001001201022201
4131021203121101322311
5230304343304100232
64132115515224501
7264502144611562
oct35114331217265
97074361051281
102003122331317
11702579375598
12284275748131
13116b803aa9b3
146cd4741b869
153718c187be7
hex1d263651eb5

2003122331317 has 2 divisors, whose sum is σ = 2003122331318. Its totient is φ = 2003122331316.

The previous prime is 2003122331311. The next prime is 2003122331363. The reversal of 2003122331317 is 7131332213002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1972580924196 + 30541407121 = 1404486^2 + 174761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003122331317 - 215 = 2003122298549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003122331311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001561165658 + 1001561165659.

It is an arithmetic number, because the mean of its divisors is an integer number (1001561165659).

Almost surely, 22003122331317 is an apocalyptic number.

It is an amenable number.

2003122331317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003122331317 is an equidigital number, since it uses as much as digits as its factorization.

2003122331317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 2003122331317 its reverse (7131332213002), we get a palindrome (9134454544319).

The spelling of 2003122331317 in words is "two trillion, three billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred seventeen".