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135301221241 is a prime number
BaseRepresentation
bin111111000000010010…
…1001100101101111001
3110221020101010012001021
41332000211030231321
54204044103034431
6142053450422441
712526614255604
oct1760045145571
9427211105037
10135301221241
115242101510a
1222280131a21
13c9b326b034
14679757b33b
1537bd46ab11
hex1f8094cb79

135301221241 has 2 divisors, whose sum is σ = 135301221242. Its totient is φ = 135301221240.

The previous prime is 135301221203. The next prime is 135301221287. The reversal of 135301221241 is 142122103531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120065022016 + 15236199225 = 346504^2 + 123435^2 .

It is a cyclic number.

It is not a de Polignac number, because 135301221241 - 213 = 135301213049 is a prime.

It is not a weakly prime, because it can be changed into another prime (135301227241) 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, 67650610620 + 67650610621.

It is an arithmetic number, because the mean of its divisors is an integer number (67650610621).

Almost surely, 2135301221241 is an apocalyptic number.

It is an amenable number.

135301221241 is a deficient number, since it is larger than the sum of its proper divisors (1).

135301221241 is an equidigital number, since it uses as much as digits as its factorization.

135301221241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 135301221241 its reverse (142122103531), we get a palindrome (277423324772).

The spelling of 135301221241 in words is "one hundred thirty-five billion, three hundred one million, two hundred twenty-one thousand, two hundred forty-one".