Search a number
-
+
201322141223103 = 321911310418782861
BaseRepresentation
bin101101110001100111110110…
…101101101000100010111111
3222101211012122011121011221200
4231301213312231220202333
5202341430221123114403
61552102040452230543
760256021223301105
oct5561476655504277
9871735564534850
10201322141223103
115916927129912a
121a6b56b590b453
13884479a553264
1437a00879d1c75
151841cb6bdbca3
hexb719f6b688bf

201322141223103 has 24 divisors (see below), whose sum is σ = 308812724029680. Its totient is φ = 126025597474560.

The previous prime is 201322141223083. The next prime is 201322141223233. The reversal of 201322141223103 is 301322141223102.

201322141223103 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 221 + 4 + 122 + 310 + 3 = 666.

It is not a de Polignac number, because 201322141223103 - 26 = 201322141223039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201322141225103) 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 in 23 ways as a sum of consecutive naturals, for example, 5209372108 + ... + 5209410753.

It is an arithmetic number, because the mean of its divisors is an integer number (12867196834570).

Almost surely, 2201322141223103 is an apocalyptic number.

201322141223103 is a deficient number, since it is larger than the sum of its proper divisors (107490582806577).

201322141223103 is a wasteful number, since it uses less digits than its factorization.

201322141223103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418782999 (or 10418782996 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201322141223103 its reverse (301322141223102), we get a palindrome (502644282446205).

Subtracting 201322141223103 from its reverse (301322141223102), we obtain a palindrome (99999999999999).

The spelling of 201322141223103 in words is "two hundred one trillion, three hundred twenty-two billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred three".

Divisors: 1 3 9 19 57 113 171 339 1017 2147 6441 19323 10418782861 31256348583 93769045749 197956874359 593870623077 1177322463293 1781611869231 3531967389879 10595902169637 22369126802567 67107380407701 201322141223103