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214240320241 is a prime number
BaseRepresentation
bin1100011110000110110…
…1111101101011110001
3202110222202221220110121
43013201231331223301
512002231010221431
6242230505330241
721323034450433
oct3074155755361
9673882856417
10214240320241
118294a091602
1235630796981
131728366187c
14a525474653
15588d728611
hex31e1b7daf1

214240320241 has 2 divisors, whose sum is σ = 214240320242. Its totient is φ = 214240320240.

The previous prime is 214240320199. The next prime is 214240320269. The reversal of 214240320241 is 142023042412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191598798400 + 22641521841 = 437720^2 + 150471^2 .

It is a cyclic number.

It is not a de Polignac number, because 214240320241 - 217 = 214240189169 is a prime.

It is not a weakly prime, because it can be changed into another prime (214240320341) 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, 107120160120 + 107120160121.

It is an arithmetic number, because the mean of its divisors is an integer number (107120160121).

Almost surely, 2214240320241 is an apocalyptic number.

It is an amenable number.

214240320241 is a deficient number, since it is larger than the sum of its proper divisors (1).

214240320241 is an equidigital number, since it uses as much as digits as its factorization.

214240320241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 214240320241 its reverse (142023042412), we get a palindrome (356263362653).

The spelling of 214240320241 in words is "two hundred fourteen billion, two hundred forty million, three hundred twenty thousand, two hundred forty-one".