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2001023331133 is a prime number
BaseRepresentation
bin11101000111100110010…
…010001110101100111101
321002021222202102110101011
4131013212102032230331
5230241043433044013
64131131334315221
7264366136450531
oct35074622165475
97067882373334
102001023331133
117016a155a6a2
1228398a7b8b11
1311690757cc58
146cbc8751bc1
15370b7c6bc3d
hex1d1e648eb3d

2001023331133 has 2 divisors, whose sum is σ = 2001023331134. Its totient is φ = 2001023331132.

The previous prime is 2001023331119. The next prime is 2001023331143. The reversal of 2001023331133 is 3311333201002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1987302020089 + 13721311044 = 1409717^2 + 117138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001023331133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001023331143) 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, 1000511665566 + 1000511665567.

It is an arithmetic number, because the mean of its divisors is an integer number (1000511665567).

Almost surely, 22001023331133 is an apocalyptic number.

It is an amenable number.

2001023331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001023331133 is an equidigital number, since it uses as much as digits as its factorization.

2001023331133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2001023331133 its reverse (3311333201002), we get a palindrome (5312356532135).

The spelling of 2001023331133 in words is "two trillion, one billion, twenty-three million, three hundred thirty-one thousand, one hundred thirty-three".