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214541320241 is a prime number
BaseRepresentation
bin1100011111001110101…
…0001100000000110001
3202111202202100021211202
43013303222030000301
512003340034221431
6242320421020545
721333351063443
oct3076352140061
9674682307752
10214541320241
1182a93a89336
12356b5554755
1317300b1c891
14a553428493
1558a9d838cb
hex31f3a8c031

214541320241 has 2 divisors, whose sum is σ = 214541320242. Its totient is φ = 214541320240.

The previous prime is 214541320229. The next prime is 214541320243. The reversal of 214541320241 is 142023145412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165001689616 + 49539630625 = 406204^2 + 222575^2 .

It is a cyclic number.

It is not a de Polignac number, because 214541320241 - 26 = 214541320177 is a prime.

Together with 214541320243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214541320243) 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, 107270660120 + 107270660121.

It is an arithmetic number, because the mean of its divisors is an integer number (107270660121).

Almost surely, 2214541320241 is an apocalyptic number.

It is an amenable number.

214541320241 is a deficient number, since it is larger than the sum of its proper divisors (1).

214541320241 is an equidigital number, since it uses as much as digits as its factorization.

214541320241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 214541320241 its reverse (142023145412), we get a palindrome (356564465653).

The spelling of 214541320241 in words is "two hundred fourteen billion, five hundred forty-one million, three hundred twenty thousand, two hundred forty-one".