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223112133113 is a prime number
BaseRepresentation
bin1100111111001010000…
…1001111100111111001
3210022220001211200210112
43033302201033213321
512123413201224423
6250255111154105
722055632561202
oct3176241174771
9708801750715
10223112133113
1186691a89961
12372a7975935
13180686ac59c
14ab2783c5a9
155c0c533a78
hex33f284f9f9

223112133113 has 2 divisors, whose sum is σ = 223112133114. Its totient is φ = 223112133112.

The previous prime is 223112133089. The next prime is 223112133163. The reversal of 223112133113 is 311331211322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159139559929 + 63972573184 = 398923^2 + 252928^2 .

It is a cyclic number.

It is not a de Polignac number, because 223112133113 - 214 = 223112116729 is a prime.

It is a super-3 number, since 3×2231121331133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223112133163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556066556 + 111556066557.

It is an arithmetic number, because the mean of its divisors is an integer number (111556066557).

Almost surely, 2223112133113 is an apocalyptic number.

It is an amenable number.

223112133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112133113 is an equidigital number, since it uses as much as digits as its factorization.

223112133113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 223112133113 its reverse (311331211322), we get a palindrome (534443344435).

The spelling of 223112133113 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred thirty-three thousand, one hundred thirteen".