Search a number
-
+
2201023011001 is a prime number
BaseRepresentation
bin100000000001110111001…
…100011101100010111001
321210102020002002212201211
4200001313030131202321
5242030143342323001
64403045213443121
7315006254622313
oct40016714354271
97712202085654
102201023011001
117794a3122321
122b66a61a04a1
1312c72b7b94a9
147875c78c7b3
153c3c117b351
hex2007731d8b9

2201023011001 has 2 divisors, whose sum is σ = 2201023011002. Its totient is φ = 2201023011000.

The previous prime is 2201023010933. The next prime is 2201023011013. The reversal of 2201023011001 is 1001103201022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2045254655376 + 155768355625 = 1430124^2 + 394675^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201023011001 - 27 = 2201023010873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201023011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100511505500 + 1100511505501.

It is an arithmetic number, because the mean of its divisors is an integer number (1100511505501).

Almost surely, 22201023011001 is an apocalyptic number.

It is an amenable number.

2201023011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201023011001 is an equidigital number, since it uses as much as digits as its factorization.

2201023011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2201023011001 its reverse (1001103201022), we get a palindrome (3202126212023).

The spelling of 2201023011001 in words is "two trillion, two hundred one billion, twenty-three million, eleven thousand, one".