Search a number
-
+
201002221012013 is a prime number
BaseRepresentation
bin101101101100111101111001…
…111110111000010000101101
3222100200121212101021120202122
4231230331321332320100231
5202321210022034341023
61551255051240002325
760223634262335321
oct5554757176702055
9870617771246678
10201002221012013
115905562170a463
121a6636b11603a5
138820574734cc5
14378c7b9017981
1518387e07c32c8
hexb6cf79fb842d

201002221012013 has 2 divisors, whose sum is σ = 201002221012014. Its totient is φ = 201002221012012.

The previous prime is 201002221011989. The next prime is 201002221012031. The reversal of 201002221012013 is 310210122200102.

Together with next prime (201002221012031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145329462441289 + 55672758570724 = 12055267^2 + 7461418^2 .

It is a cyclic number.

It is not a de Polignac number, because 201002221012013 - 222 = 201002216817709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201002221011982 and 201002221012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201002221012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100501110506006 + 100501110506007.

It is an arithmetic number, because the mean of its divisors is an integer number (100501110506007).

Almost surely, 2201002221012013 is an apocalyptic number.

It is an amenable number.

201002221012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201002221012013 is an equidigital number, since it uses as much as digits as its factorization.

201002221012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201002221012013 its reverse (310210122200102), we get a palindrome (511212343212115).

The spelling of 201002221012013 in words is "two hundred one trillion, two billion, two hundred twenty-one million, twelve thousand, thirteen".