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200212202117 is a prime number
BaseRepresentation
bin1011101001110110010…
…0111100001010000101
3201010210010120200002002
42322131210330022011
511240013310431432
6231550510155045
720315305432034
oct2723544741205
9633703520062
10200212202117
1177a00628854
12329767b2a85
1315b59289465
14999435c71b
15531bddde62
hex2e9d93c285

200212202117 has 2 divisors, whose sum is σ = 200212202118. Its totient is φ = 200212202116.

The previous prime is 200212202093. The next prime is 200212202207. The reversal of 200212202117 is 711202212002.

200212202117 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., 175566028036 + 24646174081 = 419006^2 + 156991^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212202117 - 218 = 200211939973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200212202317) 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, 100106101058 + 100106101059.

It is an arithmetic number, because the mean of its divisors is an integer number (100106101059).

Almost surely, 2200212202117 is an apocalyptic number.

It is an amenable number.

200212202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212202117 is an equidigital number, since it uses as much as digits as its factorization.

200212202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 200212202117 its reverse (711202212002), we get a palindrome (911414414119).

The spelling of 200212202117 in words is "two hundred billion, two hundred twelve million, two hundred two thousand, one hundred seventeen".