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9681822313 is a prime number
BaseRepresentation
bin10010000010001010…
…01110001001101001
3220222202001112101121
421001011032021221
5124312021303223
64240415015241
7461632063132
oct110105161151
926882045347
109681822313
114119155449
121a6250a521
13bb3ac6857
1467bbbac89
153b9ead15d
hex24114e269

9681822313 has 2 divisors, whose sum is σ = 9681822314. Its totient is φ = 9681822312.

The previous prime is 9681822307. The next prime is 9681822341. The reversal of 9681822313 is 3132281869.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9649525824 + 32296489 = 98232^2 + 5683^2 .

It is an emirp because it is prime and its reverse (3132281869) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9681822313 - 217 = 9681691241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9681822313.

It is not a weakly prime, because it can be changed into another prime (9681822373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4840911156 + 4840911157.

It is an arithmetic number, because the mean of its divisors is an integer number (4840911157).

Almost surely, 29681822313 is an apocalyptic number.

It is an amenable number.

9681822313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9681822313 is an equidigital number, since it uses as much as digits as its factorization.

9681822313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 43.

The square root of 9681822313 is about 98396.2515190492. The cubic root of 9681822313 is about 2131.3382021122.

It can be divided in two parts, 968 and 1822313, that added together give a palindrome (1823281).

The spelling of 9681822313 in words is "nine billion, six hundred eighty-one million, eight hundred twenty-two thousand, three hundred thirteen".