Search a number
-
+
22503220113331 is a prime number
BaseRepresentation
bin1010001110111011100000…
…11100001110111110110011
32221200021202002201202221001
411013131300130032332303
510422143043322111311
6115505500412342431
74511542525636666
oct507356034167663
987607662652831
1022503220113331
117196620107101
122635336a74a17
13c73076b57579
1457b2398736dd
152905615194c1
hex14777070efb3

22503220113331 has 2 divisors, whose sum is σ = 22503220113332. Its totient is φ = 22503220113330.

The previous prime is 22503220113329. The next prime is 22503220113427. The reversal of 22503220113331 is 13331102230522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22503220113331 - 21 = 22503220113329 is a prime.

It is a super-3 number, since 3×225032201133313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 22503220113329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 22503220113331.

It is not a weakly prime, because it can be changed into another prime (22503220153331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11251610056665 + 11251610056666.

It is an arithmetic number, because the mean of its divisors is an integer number (11251610056666).

Almost surely, 222503220113331 is an apocalyptic number.

22503220113331 is a deficient number, since it is larger than the sum of its proper divisors (1).

22503220113331 is an equidigital number, since it uses as much as digits as its factorization.

22503220113331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 22503220113331 its reverse (13331102230522), we get a palindrome (35834322343853).

The spelling of 22503220113331 in words is "twenty-two trillion, five hundred three billion, two hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".