Search a number
-
+
221001320000033 is a prime number
BaseRepresentation
bin110010001111111111100001…
…001011000110101000100001
31001222111112000222022221100022
4302033333201023012220201
5212431341200410000113
62102010334350203225
764356550506035156
oct6217774113065041
91058445028287308
10221001320000033
11644661517138a1
1220953652ab3515
139641448159851
143c8074173422d
151a83b414cc908
hexc8ffe12c6a21

221001320000033 has 2 divisors, whose sum is σ = 221001320000034. Its totient is φ = 221001320000032.

The previous prime is 221001320000029. The next prime is 221001320000057. The reversal of 221001320000033 is 330000023100122.

221001320000033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134448384755344 + 86552935244689 = 11595188^2 + 9303383^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001320000033 - 22 = 221001320000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221001319999966 and 221001320000020.

It is not a weakly prime, because it can be changed into another prime (221001320000633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500660000016 + 110500660000017.

It is an arithmetic number, because the mean of its divisors is an integer number (110500660000017).

Almost surely, 2221001320000033 is an apocalyptic number.

It is an amenable number.

221001320000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001320000033 is an equidigital number, since it uses as much as digits as its factorization.

221001320000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 221001320000033 its reverse (330000023100122), we get a palindrome (551001343100155).

The spelling of 221001320000033 in words is "two hundred twenty-one trillion, one billion, three hundred twenty million, thirty-three", and thus it is an aban number.