Search a number
-
+
331345316417 is a prime number
BaseRepresentation
bin1001101001001011011…
…10000100101001000001
31011200021000200002022012
410310211232010221001
520412043400111132
6412115024022305
732640021501443
oct4644556045101
91150230602265
10331345316417
1111858287a485
1254272a61995
1325326b3730b
1412074106493
15894447a0b2
hex4d25b84a41

331345316417 has 2 divisors, whose sum is σ = 331345316418. Its totient is φ = 331345316416.

The previous prime is 331345316339. The next prime is 331345316431. The reversal of 331345316417 is 714613543133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221879623681 + 109465692736 = 471041^2 + 330856^2 .

It is a cyclic number.

It is not a de Polignac number, because 331345316417 - 216 = 331345250881 is a prime.

It is a super-2 number, since 2×3313453164172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331345316717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165672658208 + 165672658209.

It is an arithmetic number, because the mean of its divisors is an integer number (165672658209).

Almost surely, 2331345316417 is an apocalyptic number.

It is an amenable number.

331345316417 is a deficient number, since it is larger than the sum of its proper divisors (1).

331345316417 is an equidigital number, since it uses as much as digits as its factorization.

331345316417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 41.

The spelling of 331345316417 in words is "three hundred thirty-one billion, three hundred forty-five million, three hundred sixteen thousand, four hundred seventeen".