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233013230221 is a prime number
BaseRepresentation
bin1101100100000010101…
…0111011101010001101
3211021110002111112122211
43121000222323222031
512304202341331341
6255013402110421
722556166530422
oct3310052735215
9737402445584
10233013230221
118a902991742
12391ab7ab411
1318c85a4b725
14b3c67b7d49
1560db8a7181
hex3640abba8d

233013230221 has 2 divisors, whose sum is σ = 233013230222. Its totient is φ = 233013230220.

The previous prime is 233013230083. The next prime is 233013230249. The reversal of 233013230221 is 122032310332.

233013230221 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., 184265006121 + 48748224100 = 429261^2 + 220790^2 .

It is a cyclic number.

It is not a de Polignac number, because 233013230221 - 217 = 233013099149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233013230192 and 233013230201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233013230321) 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, 116506615110 + 116506615111.

It is an arithmetic number, because the mean of its divisors is an integer number (116506615111).

Almost surely, 2233013230221 is an apocalyptic number.

It is an amenable number.

233013230221 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013230221 is an equidigital number, since it uses as much as digits as its factorization.

233013230221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233013230221 its reverse (122032310332), we get a palindrome (355045540553).

The spelling of 233013230221 in words is "two hundred thirty-three billion, thirteen million, two hundred thirty thousand, two hundred twenty-one".