Search a number
-
+
2202334411121 = 131971181372797
BaseRepresentation
bin100000000011000101010…
…111000011100101110001
321210112121110201220111122
4200003011113003211301
5242040340102123441
64403423301352025
7315053620423265
oct40030527034561
97715543656448
102202334411121
1177a0063a6679
122b69b1408615
1312c8aa3b63b0
14788449da0a5
153c44b36e34b
hex200c55c3971

2202334411121 has 16 divisors (see below), whose sum is σ = 2384018605584. Its totient is φ = 2022405659904.

The previous prime is 2202334411111. The next prime is 2202334411157. The reversal of 2202334411121 is 1211144332022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31706788096 + 2170627623025 = 178064^2 + 1473305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202334411121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2202334411111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30216695 + ... + 30289491.

It is an arithmetic number, because the mean of its divisors is an integer number (149001162849).

Almost surely, 22202334411121 is an apocalyptic number.

It is an amenable number.

2202334411121 is a deficient number, since it is larger than the sum of its proper divisors (181684194463).

2202334411121 is a wasteful number, since it uses less digits than its factorization.

2202334411121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84820.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 2202334411121 its reverse (1211144332022), we get a palindrome (3413478743143).

The spelling of 2202334411121 in words is "two trillion, two hundred two billion, three hundred thirty-four million, four hundred eleven thousand, one hundred twenty-one".

Divisors: 1 13 197 2561 11813 72797 153569 946361 2327161 14341009 30253093 186433117 859950961 11179362493 169410339317 2202334411121