Search a number
-
+
2201331111821 is a prime number
BaseRepresentation
bin100000000010001001100…
…011110001011110001101
321210110000112212000121022
4200002021203301132031
5242031311231034241
64403135541243525
7315020015501402
oct40021143613615
97713015760538
102201331111821
11779641029aa6
122b67714035a5
1312c77a59257a
147878b6702a9
153c3dd23a54b
hex200898f178d

2201331111821 has 2 divisors, whose sum is σ = 2201331111822. Its totient is φ = 2201331111820.

The previous prime is 2201331111803. The next prime is 2201331111839. The reversal of 2201331111821 is 1281111331022.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2201331111803) and next prime (2201331111839).

It can be written as a sum of positive squares in only one way, i.e., 1735134390025 + 466196721796 = 1317245^2 + 682786^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201331111821 - 238 = 1926453204877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201331311821) 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 as a sum of consecutive naturals, namely, 1100665555910 + 1100665555911.

It is an arithmetic number, because the mean of its divisors is an integer number (1100665555911).

Almost surely, 22201331111821 is an apocalyptic number.

It is an amenable number.

2201331111821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201331111821 is an equidigital number, since it uses as much as digits as its factorization.

2201331111821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 2201331111821 its reverse (1281111331022), we get a palindrome (3482442442843).

The spelling of 2201331111821 in words is "two trillion, two hundred one billion, three hundred thirty-one million, one hundred eleven thousand, eight hundred twenty-one".