Search a number
-
+
9318133209829 is a prime number
BaseRepresentation
bin1000011110011000110000…
…0001010001101011100101
31012222210201201120100122111
42013212030001101223211
52210132014100203304
631452405153201021
71651133012302603
oct207461401215345
935883651510574
109318133209829
112a72886301354
121065abbb60171
135279086bc652
1424300020c873
151125bcca8704
hex8798c051ae5

9318133209829 has 2 divisors, whose sum is σ = 9318133209830. Its totient is φ = 9318133209828.

The previous prime is 9318133209731. The next prime is 9318133209839. The reversal of 9318133209829 is 9289023318139.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7986643384225 + 1331489825604 = 2826065^2 + 1153902^2 .

It is an emirp because it is prime and its reverse (9289023318139) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9318133209829 is a prime.

It is a super-2 number, since 2×93181332098292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9318133209839) 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, 4659066604914 + 4659066604915.

It is an arithmetic number, because the mean of its divisors is an integer number (4659066604915).

Almost surely, 29318133209829 is an apocalyptic number.

It is an amenable number.

9318133209829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9318133209829 is an equidigital number, since it uses as much as digits as its factorization.

9318133209829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 9318133209829 in words is "nine trillion, three hundred eighteen billion, one hundred thirty-three million, two hundred nine thousand, eight hundred twenty-nine".