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201434112241 is a prime number
BaseRepresentation
bin1011101110011001101…
…0001010000011110001
3201020221021211010122121
42323212122022003301
511300014113042431
6232312040034241
720360503463155
oct2734632120361
9636837733577
10201434112241
1178478339a2a
1233057a62981
1315cc24825bb
149a6c753065
15538e306611
hex2ee668a0f1

201434112241 has 2 divisors, whose sum is σ = 201434112242. Its totient is φ = 201434112240.

The previous prime is 201434112223. The next prime is 201434112247. The reversal of 201434112241 is 142211434102.

201434112241 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., 200633222241 + 800890000 = 447921^2 + 28300^2 .

It is a cyclic number.

It is not a de Polignac number, because 201434112241 - 221 = 201432015089 is a prime.

It is not a weakly prime, because it can be changed into another prime (201434112247) 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, 100717056120 + 100717056121.

It is an arithmetic number, because the mean of its divisors is an integer number (100717056121).

Almost surely, 2201434112241 is an apocalyptic number.

It is an amenable number.

201434112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

201434112241 is an equidigital number, since it uses as much as digits as its factorization.

201434112241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 201434112241 its reverse (142211434102), we get a palindrome (343645546343).

The spelling of 201434112241 in words is "two hundred one billion, four hundred thirty-four million, one hundred twelve thousand, two hundred forty-one".