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223113350012513 is a prime number
BaseRepresentation
bin110010101110101110011111…
…111110001101111001100001
31002020222102112222102002021212
4302232232133332031321201
5213220442120100400023
62110304505155155505
764665256542655352
oct6256563776157141
91066872488362255
10223113350012513
11650aa927590154
1221034a415a5b95
139765663642a1c
143d14a5ac35d29
151abda548e2e78
hexcaeb9ff8de61

223113350012513 has 2 divisors, whose sum is σ = 223113350012514. Its totient is φ = 223113350012512.

The previous prime is 223113350012507. The next prime is 223113350012549. The reversal of 223113350012513 is 315210053311322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207666343460689 + 15447006551824 = 14410633^2 + 3930268^2 .

It is a cyclic number.

It is not a de Polignac number, because 223113350012513 - 28 = 223113350012257 is a prime.

It is a super-3 number, since 3×2231133500125133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223113350012513.

It is not a weakly prime, because it can be changed into another prime (223113350012713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556675006256 + 111556675006257.

It is an arithmetic number, because the mean of its divisors is an integer number (111556675006257).

Almost surely, 2223113350012513 is an apocalyptic number.

It is an amenable number.

223113350012513 is a deficient number, since it is larger than the sum of its proper divisors (1).

223113350012513 is an equidigital number, since it uses as much as digits as its factorization.

223113350012513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 223113350012513 in words is "two hundred twenty-three trillion, one hundred thirteen billion, three hundred fifty million, twelve thousand, five hundred thirteen".