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311133020221 is a prime number
BaseRepresentation
bin1001000011100001111…
…10010010000000111101
31002202002101200001102101
410201300332102000331
520044200023121341
6354533232225101
731323111015262
oct4416076220075
91082071601371
10311133020221
1110aa5052a161
125037199b191
132345548b63a
14110b795b269
15815ec76831
hex4870f9203d

311133020221 has 2 divisors, whose sum is σ = 311133020222. Its totient is φ = 311133020220.

The previous prime is 311133020201. The next prime is 311133020267. The reversal of 311133020221 is 122020331113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182915314596 + 128217705625 = 427686^2 + 358075^2 .

It is a cyclic number.

It is not a de Polignac number, because 311133020221 - 233 = 302543085629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311133020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155566510110 + 155566510111.

It is an arithmetic number, because the mean of its divisors is an integer number (155566510111).

Almost surely, 2311133020221 is an apocalyptic number.

It is an amenable number.

311133020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

311133020221 is an equidigital number, since it uses as much as digits as its factorization.

311133020221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 311133020221 its reverse (122020331113), we get a palindrome (433153351334).

The spelling of 311133020221 in words is "three hundred eleven billion, one hundred thirty-three million, twenty thousand, two hundred twenty-one".