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330114221201341 is a prime number
BaseRepresentation
bin100101100001111001011010…
…0111000111101011110111101
31121021211121111122222120100201
41023003302310320331132331
5321232042411111420331
63130032214000123501
7126350652066312223
oct11303626470753675
91537747448876321
10330114221201341
1196203722898735
1231036420906591
1311227839730b25
145b7388385ab13
1528270660eba61
hex12c3cb4e3d7bd

330114221201341 has 2 divisors, whose sum is σ = 330114221201342. Its totient is φ = 330114221201340.

The previous prime is 330114221201311. The next prime is 330114221201449. The reversal of 330114221201341 is 143102122411033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167910308236441 + 162203912964900 = 12958021^2 + 12735930^2 .

It is a cyclic number.

It is not a de Polignac number, because 330114221201341 - 219 = 330114220677053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330114221201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165057110600670 + 165057110600671.

It is an arithmetic number, because the mean of its divisors is an integer number (165057110600671).

Almost surely, 2330114221201341 is an apocalyptic number.

It is an amenable number.

330114221201341 is a deficient number, since it is larger than the sum of its proper divisors (1).

330114221201341 is an equidigital number, since it uses as much as digits as its factorization.

330114221201341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 330114221201341 its reverse (143102122411033), we get a palindrome (473216343612374).

The spelling of 330114221201341 in words is "three hundred thirty trillion, one hundred fourteen billion, two hundred twenty-one million, two hundred one thousand, three hundred forty-one".