Search a number
-
+
331415331349 is a prime number
BaseRepresentation
bin1001101001010011110…
…01001010001000010101
31011200102220102012201211
410310221321022020111
520412214311100344
6412130004421421
732641531556554
oct4645171121025
91150386365654
10331415331349
11118609350763
12542923a7871
13253384ac87b
141207d52dd9b
15894a6aa334
hex4d29e4a215

331415331349 has 2 divisors, whose sum is σ = 331415331350. Its totient is φ = 331415331348.

The previous prime is 331415331311. The next prime is 331415331389. The reversal of 331415331349 is 943133514133.

It is an a-pointer prime, because the next prime (331415331389) can be obtained adding 331415331349 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211179768849 + 120235562500 = 459543^2 + 346750^2 .

It is a cyclic number.

It is not a de Polignac number, because 331415331349 - 227 = 331281113621 is a prime.

It is a super-2 number, since 2×3314153313492 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331415331389) 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, 165707665674 + 165707665675.

It is an arithmetic number, because the mean of its divisors is an integer number (165707665675).

Almost surely, 2331415331349 is an apocalyptic number.

It is an amenable number.

331415331349 is a deficient number, since it is larger than the sum of its proper divisors (1).

331415331349 is an equidigital number, since it uses as much as digits as its factorization.

331415331349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 40.

The spelling of 331415331349 in words is "three hundred thirty-one billion, four hundred fifteen million, three hundred thirty-one thousand, three hundred forty-nine".