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331142413369 is a prime number
BaseRepresentation
bin1001101000110011010…
…00000011110000111001
31011122201212212112122111
410310121220003300321
520411134424211434
6412042535052321
732632006033405
oct4643150036071
91148655775574
10331142413369
11118489294409
1254216b110a1
13252c3aa4841
14120551aa105
15893174a964
hex4d19a03c39

331142413369 has 2 divisors, whose sum is σ = 331142413370. Its totient is φ = 331142413368.

The previous prime is 331142413331. The next prime is 331142413411. The reversal of 331142413369 is 963314241133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248766525225 + 82375888144 = 498765^2 + 287012^2 .

It is an emirp because it is prime and its reverse (963314241133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331142413369 - 27 = 331142413241 is a prime.

It is a super-2 number, since 2×3311424133692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331142413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165571206684 + 165571206685.

It is an arithmetic number, because the mean of its divisors is an integer number (165571206685).

Almost surely, 2331142413369 is an apocalyptic number.

It is an amenable number.

331142413369 is a deficient number, since it is larger than the sum of its proper divisors (1).

331142413369 is an equidigital number, since it uses as much as digits as its factorization.

331142413369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 40.

The spelling of 331142413369 in words is "three hundred thirty-one billion, one hundred forty-two million, four hundred thirteen thousand, three hundred sixty-nine".