Search a number
-
+
22314240313 is a prime number
BaseRepresentation
bin10100110010000010…
…000100100100111001
32010121010011212010221
4110302002010210321
5331144421142223
614130115340041
71416652625131
oct246202044471
963533155127
1022314240313
119510897022
1243a8bb1621
132147c976c1
1411197bdac1
158a9001b5d
hex532084939

22314240313 has 2 divisors, whose sum is σ = 22314240314. Its totient is φ = 22314240312.

The previous prime is 22314240301. The next prime is 22314240343. The reversal of 22314240313 is 31304241322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18772562169 + 3541678144 = 137013^2 + 59512^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22314240313 is a prime.

It is a super-3 number, since 3×223142403133 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22314240343) 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, 11157120156 + 11157120157.

It is an arithmetic number, because the mean of its divisors is an integer number (11157120157).

Almost surely, 222314240313 is an apocalyptic number.

It is an amenable number.

22314240313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22314240313 is an equidigital number, since it uses as much as digits as its factorization.

22314240313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22314240313 its reverse (31304241322), we get a palindrome (53618481635).

The spelling of 22314240313 in words is "twenty-two billion, three hundred fourteen million, two hundred forty thousand, three hundred thirteen".