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221133203233 is a prime number
BaseRepresentation
bin1100110111110010010…
…0001110011100100001
3210010210011010122100021
43031330210032130201
512110340100000413
6245330455553441
721655613133265
oct3157444163441
9703704118307
10221133203233
1185866a23618
1236a3508b881
1317b11701767
14a9baaaa0a5
155b4393418d
hex337c90e721

221133203233 has 2 divisors, whose sum is σ = 221133203234. Its totient is φ = 221133203232.

The previous prime is 221133203227. The next prime is 221133203243. The reversal of 221133203233 is 332302331122.

221133203233 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., 215428724449 + 5704478784 = 464143^2 + 75528^2 .

It is a cyclic number.

It is not a de Polignac number, because 221133203233 - 217 = 221133072161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221133203198 and 221133203207.

It is not a weakly prime, because it can be changed into another prime (221133203243) 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, 110566601616 + 110566601617.

It is an arithmetic number, because the mean of its divisors is an integer number (110566601617).

Almost surely, 2221133203233 is an apocalyptic number.

It is an amenable number.

221133203233 is a deficient number, since it is larger than the sum of its proper divisors (1).

221133203233 is an equidigital number, since it uses as much as digits as its factorization.

221133203233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 221133203233 its reverse (332302331122), we get a palindrome (553435534355).

The spelling of 221133203233 in words is "two hundred twenty-one billion, one hundred thirty-three million, two hundred three thousand, two hundred thirty-three".