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221210312041 is a prime number
BaseRepresentation
bin1100111000000100101…
…0010111110101101001
3210010222112020011202001
43032001022113311221
512111014314441131
6245342252411001
721660540425305
oct3160112276551
9703875204661
10221210312041
11858a64aa604
1236a56a76a61
1317b2468bb84
14a9c701cd05
155b4a5b6261
hex3381297d69

221210312041 has 2 divisors, whose sum is σ = 221210312042. Its totient is φ = 221210312040.

The previous prime is 221210312033. The next prime is 221210312093. The reversal of 221210312041 is 140213012122.

221210312041 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., 116619518016 + 104590794025 = 341496^2 + 323405^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210312041 - 23 = 221210312033 is a prime.

It is not a weakly prime, because it can be changed into another prime (221210112041) 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, 110605156020 + 110605156021.

It is an arithmetic number, because the mean of its divisors is an integer number (110605156021).

Almost surely, 2221210312041 is an apocalyptic number.

It is an amenable number.

221210312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210312041 is an equidigital number, since it uses as much as digits as its factorization.

221210312041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221210312041 its reverse (140213012122), we get a palindrome (361423324163).

The spelling of 221210312041 in words is "two hundred twenty-one billion, two hundred ten million, three hundred twelve thousand, forty-one".