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11221110001 is a prime number
BaseRepresentation
bin10100111001101010…
…01000110011110001
31001222000111110010201
422130311020303301
5140440101010001
65053243155201
7545032601263
oct123465106361
931860443121
1011221110001
11483902a032
122211b15b01
13109a99337a
147863c9b33
1545a1b8501
hex29cd48cf1

11221110001 has 2 divisors, whose sum is σ = 11221110002. Its totient is φ = 11221110000.

The previous prime is 11221109971. The next prime is 11221110007. The reversal of 11221110001 is 10001112211.

11221110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10686390625 + 534719376 = 103375^2 + 23124^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221110001 - 219 = 11220585713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11221110001.

It is not a weakly prime, because it can be changed into another prime (11221110007) 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, 5610555000 + 5610555001.

It is an arithmetic number, because the mean of its divisors is an integer number (5610555001).

Almost surely, 211221110001 is an apocalyptic number.

It is an amenable number.

11221110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221110001 is an equidigital number, since it uses as much as digits as its factorization.

11221110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11221110001 its reverse (10001112211), we get a palindrome (21222222212).

It can be divided in two parts, 112211 and 10001, that multiplied together give a palindrome (1122222211).

The spelling of 11221110001 in words is "eleven billion, two hundred twenty-one million, one hundred ten thousand, one".