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221120220100033 is a prime number
BaseRepresentation
bin110010010001101110010000…
…001010111111010111000001
31001222220212221022211211200201
4302101232100022333113001
5212440313202321200113
62102141120552045201
764401260121152062
oct6221562012772701
91058825838754621
10221120220100033
1164501616721851
12209726b6393801
13964c7164c98c7
143c863c0966569
151a86c9eb1bcdd
hexc91b902bf5c1

221120220100033 has 2 divisors, whose sum is σ = 221120220100034. Its totient is φ = 221120220100032.

The previous prime is 221120220100019. The next prime is 221120220100147. The reversal of 221120220100033 is 330001022021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210336660928144 + 10783559171889 = 14502988^2 + 3283833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221120220100033 is a prime.

It is not a weakly prime, because it can be changed into another prime (221120220100333) 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, 110560110050016 + 110560110050017.

It is an arithmetic number, because the mean of its divisors is an integer number (110560110050017).

Almost surely, 2221120220100033 is an apocalyptic number.

It is an amenable number.

221120220100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120220100033 is an equidigital number, since it uses as much as digits as its factorization.

221120220100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 221120220100033 its reverse (330001022021122), we get a palindrome (551121242121155).

The spelling of 221120220100033 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty million, one hundred thousand, thirty-three".