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330114134113 is a prime number
BaseRepresentation
bin1001100110111000101…
…01011111000001100001
31011120002012222112200121
410303130111133001201
520402033204242423
6411352523320241
732564351561611
oct4633425370141
91146065875617
10330114134113
11118000905a45
1253b8a680081
132518ba4598a
1411d987baa41
1588c133045d
hex4cdc55f061

330114134113 has 2 divisors, whose sum is σ = 330114134114. Its totient is φ = 330114134112.

The previous prime is 330114134111. The next prime is 330114134117. The reversal of 330114134113 is 311431411033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278326939489 + 51787194624 = 527567^2 + 227568^2 .

It is a cyclic number.

It is not a de Polignac number, because 330114134113 - 21 = 330114134111 is a prime.

Together with 330114134111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (330114134111) 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, 165057067056 + 165057067057.

It is an arithmetic number, because the mean of its divisors is an integer number (165057067057).

Almost surely, 2330114134113 is an apocalyptic number.

It is an amenable number.

330114134113 is a deficient number, since it is larger than the sum of its proper divisors (1).

330114134113 is an equidigital number, since it uses as much as digits as its factorization.

330114134113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 330114134113 its reverse (311431411033), we get a palindrome (641545545146).

The spelling of 330114134113 in words is "three hundred thirty billion, one hundred fourteen million, one hundred thirty-four thousand, one hundred thirteen".