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223212311017 is a prime number
BaseRepresentation
bin1100111111100001111…
…1011001000111101001
3210100011001100021001021
43033320133121013221
512124114322423032
6250313050252441
722061260224103
oct3177037310751
9710131307037
10223212311017
1186733592013
1237315427121
1318083386057
14ab36c78573
155c16221097
hex33f87d91e9

223212311017 has 2 divisors, whose sum is σ = 223212311018. Its totient is φ = 223212311016.

The previous prime is 223212310967. The next prime is 223212311089. The reversal of 223212311017 is 710113212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165717383056 + 57494927961 = 407084^2 + 239781^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223212311017 is a prime.

It is a super-3 number, since 3×2232123110173 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223212310982 and 223212311000.

It is not a weakly prime, because it can be changed into another prime (223212311317) 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, 111606155508 + 111606155509.

It is an arithmetic number, because the mean of its divisors is an integer number (111606155509).

Almost surely, 2223212311017 is an apocalyptic number.

It is an amenable number.

223212311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212311017 is an equidigital number, since it uses as much as digits as its factorization.

223212311017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 223212311017 its reverse (710113212322), we get a palindrome (933325523339).

The spelling of 223212311017 in words is "two hundred twenty-three billion, two hundred twelve million, three hundred eleven thousand, seventeen".