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2003131042441 is a prime number
BaseRepresentation
bin11101001001100011111…
…010100000101010001001
321002111102122110021201221
4131021203322200222021
5230304403021324231
64132120430042041
7264502311632464
oct35114372405211
97074378407657
102003131042441
11702583285371
12284278649321
13116b8213a9c9
146cd486482db
153718cd08d11
hex1d263ea0a89

2003131042441 has 2 divisors, whose sum is σ = 2003131042442. Its totient is φ = 2003131042440.

The previous prime is 2003131042427. The next prime is 2003131042489. The reversal of 2003131042441 is 1442401313002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2003085412416 + 45630025 = 1415304^2 + 6755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003131042441 - 227 = 2002996824713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003131022441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001565521220 + 1001565521221.

It is an arithmetic number, because the mean of its divisors is an integer number (1001565521221).

Almost surely, 22003131042441 is an apocalyptic number.

It is an amenable number.

2003131042441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003131042441 is an equidigital number, since it uses as much as digits as its factorization.

2003131042441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2003131042441 its reverse (1442401313002), we get a palindrome (3445532355443).

The spelling of 2003131042441 in words is "two trillion, three billion, one hundred thirty-one million, forty-two thousand, four hundred forty-one".