Search a number
-
+
331245440293 is a prime number
BaseRepresentation
bin1001101000111111100…
…01000100110100100101
31011200000001201212000111
410310133301010310211
520411342313042133
6412101055213021
732634366533425
oct4643761046445
91150001655014
10331245440293
11118531463029
1254245517171
132530c238011
1412064b48485
15893a7ec1cd
hex4d1fc44d25

331245440293 has 2 divisors, whose sum is σ = 331245440294. Its totient is φ = 331245440292.

The previous prime is 331245440243. The next prime is 331245440297. The reversal of 331245440293 is 392044542133.

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., 325884564769 + 5360875524 = 570863^2 + 73218^2 .

It is a cyclic number.

It is not a de Polignac number, because 331245440293 - 213 = 331245432101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331245440297) 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, 165622720146 + 165622720147.

It is an arithmetic number, because the mean of its divisors is an integer number (165622720147).

Almost surely, 2331245440293 is an apocalyptic number.

It is an amenable number.

331245440293 is a deficient number, since it is larger than the sum of its proper divisors (1).

331245440293 is an equidigital number, since it uses as much as digits as its factorization.

331245440293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 331245440293 in words is "three hundred thirty-one billion, two hundred forty-five million, four hundred forty thousand, two hundred ninety-three".