Search a number
-
+
2001231223133 is a prime number
BaseRepresentation
bin11101000111110010101…
…011010001100101011101
321002022112020121110120212
4131013302223101211131
5230242010143120013
64131204122222205
7264404242504622
oct35076253214535
97068466543525
102001231223133
11701798942a6a
12283a28354965
1311693b66b47c
146cc081ca349
15370cb1346a8
hex1d1f2ad195d

2001231223133 has 2 divisors, whose sum is σ = 2001231223134. Its totient is φ = 2001231223132.

The previous prime is 2001231223099. The next prime is 2001231223139. The reversal of 2001231223133 is 3313221321002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1646905089124 + 354326134009 = 1283318^2 + 595253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001231223133 - 28 = 2001231222877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001231223099 and 2001231223108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001231223139) 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, 1000615611566 + 1000615611567.

It is an arithmetic number, because the mean of its divisors is an integer number (1000615611567).

Almost surely, 22001231223133 is an apocalyptic number.

It is an amenable number.

2001231223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001231223133 is an equidigital number, since it uses as much as digits as its factorization.

2001231223133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2001231223133 its reverse (3313221321002), we get a palindrome (5314452544135).

The spelling of 2001231223133 in words is "two trillion, one billion, two hundred thirty-one million, two hundred twenty-three thousand, one hundred thirty-three".