Search a number
-
+
320024024381 is a prime number
BaseRepresentation
bin1001010100000101110…
…10110001010100111101
31010121001000122212020202
410222002322301110331
520220402122240011
6403003401253245
732056331216225
oct4520272612475
91117030585222
10320024024381
111137a3245186
1252033494225
1324241498649
14116bc6bd085
1584d05c323b
hex4a82eb153d

320024024381 has 2 divisors, whose sum is σ = 320024024382. Its totient is φ = 320024024380.

The previous prime is 320024024377. The next prime is 320024024479. The reversal of 320024024381 is 183420420023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161692452100 + 158331572281 = 402110^2 + 397909^2 .

It is a cyclic number.

It is not a de Polignac number, because 320024024381 - 22 = 320024024377 is a prime.

It is a super-3 number, since 3×3200240243813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320024024321) 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, 160012012190 + 160012012191.

It is an arithmetic number, because the mean of its divisors is an integer number (160012012191).

Almost surely, 2320024024381 is an apocalyptic number.

It is an amenable number.

320024024381 is a deficient number, since it is larger than the sum of its proper divisors (1).

320024024381 is an equidigital number, since it uses as much as digits as its factorization.

320024024381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 320024024381 in words is "three hundred twenty billion, twenty-four million, twenty-four thousand, three hundred eighty-one".