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13340114329 is a prime number
BaseRepresentation
bin11000110110010000…
…11111110110011001
31021102200210000121111
430123020133312121
5204310032124304
610043420540321
7651403046413
oct143310376631
937380700544
1013340114329
115726168383
1227036b16a1
1313479a6399
149079c19b3
15531236704
hex31b21fd99

13340114329 has 2 divisors, whose sum is σ = 13340114330. Its totient is φ = 13340114328.

The previous prime is 13340114323. The next prime is 13340114369. The reversal of 13340114329 is 92341104331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10911891600 + 2428222729 = 104460^2 + 49277^2 .

It is a cyclic number.

It is not a de Polignac number, because 13340114329 - 23 = 13340114321 is a prime.

It is a super-2 number, since 2×133401143292 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13340114329.

It is not a weakly prime, because it can be changed into another prime (13340114321) 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, 6670057164 + 6670057165.

It is an arithmetic number, because the mean of its divisors is an integer number (6670057165).

Almost surely, 213340114329 is an apocalyptic number.

It is an amenable number.

13340114329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13340114329 is an equidigital number, since it uses as much as digits as its factorization.

13340114329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13340114329 in words is "thirteen billion, three hundred forty million, one hundred fourteen thousand, three hundred twenty-nine".