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223133303213 is a prime number
BaseRepresentation
bin1100111111001111001…
…0000000000110101101
3210022221112200020201022
43033303302000012231
512123434111200323
6250301145023525
722056310532462
oct3176362000655
9708845606638
10223133303213
11866a2a29307
12372b2a84ba5
131806cbb2482
14ab2a58d669
155c0e3164c8
hex33f3c801ad

223133303213 has 2 divisors, whose sum is σ = 223133303214. Its totient is φ = 223133303212.

The previous prime is 223133303209. The next prime is 223133303219. The reversal of 223133303213 is 312303331322.

It is a happy number.

223133303213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157718591044 + 65414712169 = 397138^2 + 255763^2 .

It is a cyclic number.

It is not a de Polignac number, because 223133303213 - 22 = 223133303209 is a prime.

It is a super-3 number, since 3×2231333032133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223133303219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111566651606 + 111566651607.

It is an arithmetic number, because the mean of its divisors is an integer number (111566651607).

Almost surely, 2223133303213 is an apocalyptic number.

It is an amenable number.

223133303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223133303213 is an equidigital number, since it uses as much as digits as its factorization.

223133303213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 223133303213 its reverse (312303331322), we get a palindrome (535436634535).

The spelling of 223133303213 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred three thousand, two hundred thirteen".