Search a number
-
+
201321200211121 = 416379377697113
BaseRepresentation
bin101101110001100110111110…
…100111111101010010110001
3222101211010012120220211012001
4231301212332213331102301
5202341421304223223441
61552101403235134001
760255656005650664
oct5561467647752261
9871733176824161
10201321200211121
11591689290a4981
121a6b5492744301
13884467a5ca533
14379ddd8a3b6db
151841c5e2ad731
hexb719be9fd4b1

201321200211121 has 8 divisors (see below), whose sum is σ = 206231823459144. Its totient is φ = 196410593633280.

The previous prime is 201321200211113. The next prime is 201321200211163. The reversal of 201321200211121 is 121112002123102.

It can be written as a sum of positive squares in 4 ways, for example, as 7236207600400 + 194084992610721 = 2690020^2 + 13931439^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201321200211121 - 23 = 201321200211113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201321200211101) 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 7 ways as a sum of consecutive naturals, for example, 22306861 + ... + 30003973.

It is an arithmetic number, because the mean of its divisors is an integer number (25778977932393).

Almost surely, 2201321200211121 is an apocalyptic number.

It is an amenable number.

201321200211121 is a deficient number, since it is larger than the sum of its proper divisors (4910623248023).

201321200211121 is an equidigital number, since it uses as much as digits as its factorization.

201321200211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335091.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201321200211121 its reverse (121112002123102), we get a palindrome (322433202334223).

The spelling of 201321200211121 in words is "two hundred one trillion, three hundred twenty-one billion, two hundred million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 41 637937 7697113 26155417 315581633 4910273175881 201321200211121