Search a number
-
+
20111001222001 is a prime number
BaseRepresentation
bin1001001001010011101010…
…00101010111101101110001
32122012121000020211211102011
410210221311011113231301
510113444312303101001
6110434511051322521
74143654233602624
oct444516505275561
978177006754364
1020111001222001
116454033996048
122309791750441
13b2b5c80580a1
144d75403c9dbb
1524d1eed01d51
hex124a75157b71

20111001222001 has 2 divisors, whose sum is σ = 20111001222002. Its totient is φ = 20111001222000.

The previous prime is 20111001221999. The next prime is 20111001222023. The reversal of 20111001222001 is 10022210011102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13779864591376 + 6331136630625 = 3712124^2 + 2516175^2 .

It is a cyclic number.

It is not a de Polignac number, because 20111001222001 - 21 = 20111001221999 is a prime.

Together with 20111001221999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20111001222061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055500611000 + 10055500611001.

It is an arithmetic number, because the mean of its divisors is an integer number (10055500611001).

Almost surely, 220111001222001 is an apocalyptic number.

It is an amenable number.

20111001222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20111001222001 is an equidigital number, since it uses as much as digits as its factorization.

20111001222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20111001222001 its reverse (10022210011102), we get a palindrome (30133211233103).

The spelling of 20111001222001 in words is "twenty trillion, one hundred eleven billion, one million, two hundred twenty-two thousand, one".