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223312200313 is a prime number
BaseRepresentation
bin1100111111111001110…
…0011100001001111001
3210100102000022011101211
43033332130130021321
512124320410402223
6250331015243121
722063612245406
oct3177634341171
9710360264354
10223312200313
1186784a08354
12373429794a1
131809ac8b347
14ab4623b2ad
155c1eda2d0d
hex33fe71c279

223312200313 has 2 divisors, whose sum is σ = 223312200314. Its totient is φ = 223312200312.

The previous prime is 223312200299. The next prime is 223312200421. The reversal of 223312200313 is 313002213322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209903255104 + 13408945209 = 458152^2 + 115797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223312200313 is a prime.

It is not a weakly prime, because it can be changed into another prime (223312200113) 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, 111656100156 + 111656100157.

It is an arithmetic number, because the mean of its divisors is an integer number (111656100157).

Almost surely, 2223312200313 is an apocalyptic number.

It is an amenable number.

223312200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312200313 is an equidigital number, since it uses as much as digits as its factorization.

223312200313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223312200313 its reverse (313002213322), we get a palindrome (536314413635).

The spelling of 223312200313 in words is "two hundred twenty-three billion, three hundred twelve million, two hundred thousand, three hundred thirteen".