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331313243441 is a prime number
BaseRepresentation
bin1001101001000111100…
…11101110010100110001
31011200011210022121110012
410310203303232110301
520412012142242231
6412111520344305
732636152050305
oct4644363562461
91150153277405
10331313243441
11118566763594
1254264175095
13253202b791b
141206db57d05
158941741e2b
hex4d23cee531

331313243441 has 2 divisors, whose sum is σ = 331313243442. Its totient is φ = 331313243440.

The previous prime is 331313243419. The next prime is 331313243449. The reversal of 331313243441 is 144342313133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254807896225 + 76505347216 = 504785^2 + 276596^2 .

It is a cyclic number.

It is not a de Polignac number, because 331313243441 - 210 = 331313242417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331313243398 and 331313243407.

It is not a weakly prime, because it can be changed into another prime (331313243449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656621720 + 165656621721.

It is an arithmetic number, because the mean of its divisors is an integer number (165656621721).

Almost surely, 2331313243441 is an apocalyptic number.

It is an amenable number.

331313243441 is a deficient number, since it is larger than the sum of its proper divisors (1).

331313243441 is an equidigital number, since it uses as much as digits as its factorization.

331313243441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 32.

Adding to 331313243441 its reverse (144342313133), we get a palindrome (475655556574).

The spelling of 331313243441 in words is "three hundred thirty-one billion, three hundred thirteen million, two hundred forty-three thousand, four hundred forty-one".