Search a number
-
+
331443202117 is a prime number
BaseRepresentation
bin1001101001010111000…
…11011110100001000101
31011200111211212012020111
410310223203132201011
520412243424431432
6412132442033021
732642320506466
oct4645343364105
91150454765214
10331443202117
11118623057455
125429b7a8771
13253411ba651
1412083106d6d
15894cd63347
hex4d2b8de845

331443202117 has 2 divisors, whose sum is σ = 331443202118. Its totient is φ = 331443202116.

The previous prime is 331443202087. The next prime is 331443202141. The reversal of 331443202117 is 711202344133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249446306916 + 81996895201 = 499446^2 + 286351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331443202117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331443202217) 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, 165721601058 + 165721601059.

It is an arithmetic number, because the mean of its divisors is an integer number (165721601059).

Almost surely, 2331443202117 is an apocalyptic number.

It is an amenable number.

331443202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

331443202117 is an equidigital number, since it uses as much as digits as its factorization.

331443202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 331443202117 in words is "three hundred thirty-one billion, four hundred forty-three million, two hundred two thousand, one hundred seventeen".