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223223323313 is a prime number
BaseRepresentation
bin1100111111100100100…
…1011001101010110001
3210100011211001202002002
43033321021121222301
512124130132321223
6250314122303345
722061452640654
oct3177111315261
9710154052062
10223223323313
1186739823791
1237319057b55
13180857405c3
14ab3850389b
155c17198e28
hex33f9259ab1

223223323313 has 2 divisors, whose sum is σ = 223223323314. Its totient is φ = 223223323312.

The previous prime is 223223323231. The next prime is 223223323319. The reversal of 223223323313 is 313323322322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223173097744 + 50225569 = 472412^2 + 7087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223223323313 is a prime.

It is a super-3 number, since 3×2232233233133 (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (223223323319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611661656 + 111611661657.

It is an arithmetic number, because the mean of its divisors is an integer number (111611661657).

Almost surely, 2223223323313 is an apocalyptic number.

It is an amenable number.

223223323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223223323313 is an equidigital number, since it uses as much as digits as its factorization.

223223323313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 29.

Adding to 223223323313 its reverse (313323322322), we get a palindrome (536546645635).

Subtracting 223223323313 from its reverse (313323322322), we obtain a palindrome (90099999009).

The spelling of 223223323313 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred twenty-three thousand, three hundred thirteen".