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330244104320041 is a prime number
BaseRepresentation
bin100101100010110101111001…
…0100001101111010000101001
31121022022000202102222121222111
41023011223302201233100221
5321241204411201220131
63130212014102122321
7126363230523514612
oct11305536241572051
91538260672877874
10330244104320041
119625381349614a
123105762a4203a1
1311236b68331112
145b79c855bcc09
15282a618a73ab1
hex12c5af286f429

330244104320041 has 2 divisors, whose sum is σ = 330244104320042. Its totient is φ = 330244104320040.

The previous prime is 330244104320033. The next prime is 330244104320047. The reversal of 330244104320041 is 140023401442033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220742215900816 + 109501888419225 = 14857396^2 + 10464315^2 .

It is a cyclic number.

It is not a de Polignac number, because 330244104320041 - 23 = 330244104320033 is a prime.

It is a super-3 number, since 3×3302441043200413 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 330244104319985 and 330244104320012.

It is not a weakly prime, because it can be changed into another prime (330244104320047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165122052160020 + 165122052160021.

It is an arithmetic number, because the mean of its divisors is an integer number (165122052160021).

Almost surely, 2330244104320041 is an apocalyptic number.

It is an amenable number.

330244104320041 is a deficient number, since it is larger than the sum of its proper divisors (1).

330244104320041 is an equidigital number, since it uses as much as digits as its factorization.

330244104320041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 330244104320041 its reverse (140023401442033), we get a palindrome (470267505762074).

The spelling of 330244104320041 in words is "three hundred thirty trillion, two hundred forty-four billion, one hundred four million, three hundred twenty thousand, forty-one".