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22312302013 is a prime number
BaseRepresentation
bin10100110001111010…
…101011010110111101
32010120222112101022001
4110301322223112331
5331143422131023
614130010022301
71416630303121
oct246172532675
963528471261
1022312302013
11950a792821
1243a8417991
132147769391
141119437581
158a8c6c6ad
hex531eab5bd

22312302013 has 2 divisors, whose sum is σ = 22312302014. Its totient is φ = 22312302012.

The previous prime is 22312302007. The next prime is 22312302059. The reversal of 22312302013 is 31020321322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18527837689 + 3784464324 = 136117^2 + 61518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22312302013 is a prime.

It is a super-3 number, since 3×223123020133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312302713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156151006 + 11156151007.

It is an arithmetic number, because the mean of its divisors is an integer number (11156151007).

Almost surely, 222312302013 is an apocalyptic number.

It is an amenable number.

22312302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312302013 is an equidigital number, since it uses as much as digits as its factorization.

22312302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22312302013 its reverse (31020321322), we get a palindrome (53332623335).

The spelling of 22312302013 in words is "twenty-two billion, three hundred twelve million, three hundred two thousand, thirteen".