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223112323302013 is a prime number
BaseRepresentation
bin110010101110101101100010…
…110001101000001001111101
31002020222022220102110210021001
4302232231202301220021331
5213220433014231131023
62110304215241210301
764665222235036315
oct6256554261501175
91066868812423231
10223112323302013
11650aa44aa83382
12210347b5790991
13976552ba12c12
143d149a0734445
151abd9e46d76ad
hexcaeb62c6827d

223112323302013 has 2 divisors, whose sum is σ = 223112323302014. Its totient is φ = 223112323302012.

The previous prime is 223112323301911. The next prime is 223112323302053. The reversal of 223112323302013 is 310203323211322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120278993283684 + 102833330018329 = 10967178^2 + 10140677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223112323302013 is a prime.

It is a super-3 number, since 3×2231123233020133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223112323302053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556161651006 + 111556161651007.

It is an arithmetic number, because the mean of its divisors is an integer number (111556161651007).

Almost surely, 2223112323302013 is an apocalyptic number.

It is an amenable number.

223112323302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112323302013 is an equidigital number, since it uses as much as digits as its factorization.

223112323302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 223112323302013 its reverse (310203323211322), we get a palindrome (533315646513335).

The spelling of 223112323302013 in words is "two hundred twenty-three trillion, one hundred twelve billion, three hundred twenty-three million, three hundred two thousand, thirteen".