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2003312000093 is a prime number
BaseRepresentation
bin11101001001101110101…
…100110011110001011101
321002111220020221212222012
4131021232230303301131
5230310240333000333
64132150412401005
7264506640020015
oct35115654636135
97074806855865
102003312000093
11702666441548
12284309176165
13116bb0788741
146cd646b0c45
153719db50e48
hex1d26eb33c5d

2003312000093 has 2 divisors, whose sum is σ = 2003312000094. Its totient is φ = 2003312000092.

The previous prime is 2003312000057. The next prime is 2003312000153. The reversal of 2003312000093 is 3900002133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1102107334969 + 901204665124 = 1049813^2 + 949318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003312000093 - 232 = 1999017032797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003318000093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001656000046 + 1001656000047.

It is an arithmetic number, because the mean of its divisors is an integer number (1001656000047).

Almost surely, 22003312000093 is an apocalyptic number.

It is an amenable number.

2003312000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003312000093 is an equidigital number, since it uses as much as digits as its factorization.

2003312000093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2003312000093 its reverse (3900002133002), we get a palindrome (5903314133095).

The spelling of 2003312000093 in words is "two trillion, three billion, three hundred twelve million, ninety-three", and thus it is an aban number.