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2003131112293 is a prime number
BaseRepresentation
bin11101001001100011111…
…010110001101101100101
321002111102122120211120001
4131021203322301231211
5230304403031043133
64132120431341301
7264502312343233
oct35114372615545
97074378524501
102003131112293
117025833228a3
12284278681831
13116b8216373c
146cd48665953
153718cd1e87d
hex1d263eb1b65

2003131112293 has 2 divisors, whose sum is σ = 2003131112294. Its totient is φ = 2003131112292.

The previous prime is 2003131112267. The next prime is 2003131112309. The reversal of 2003131112293 is 3922111313002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1151279642529 + 851851469764 = 1072977^2 + 922958^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003131112293 - 29 = 2003131111781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003131112893) 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 as a sum of consecutive naturals, namely, 1001565556146 + 1001565556147.

It is an arithmetic number, because the mean of its divisors is an integer number (1001565556147).

Almost surely, 22003131112293 is an apocalyptic number.

It is an amenable number.

2003131112293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003131112293 is an equidigital number, since it uses as much as digits as its factorization.

2003131112293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 2003131112293 its reverse (3922111313002), we get a palindrome (5925242425295).

The spelling of 2003131112293 in words is "two trillion, three billion, one hundred thirty-one million, one hundred twelve thousand, two hundred ninety-three".