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200200200100213 is a prime number
BaseRepresentation
bin101101100001010010111101…
…110011111001100101110101
3222020211221201011102212221211
4231201102331303321211311
5202220040002211201323
61545442411404241421
760111662406144205
oct5541227563714565
9866757634385854
10200200200100213
1158876478825825
121a554181b40271
138792a4ab9bb41
143761a54512405
1518229eed8c70d
hexb614bdcf9975

200200200100213 has 2 divisors, whose sum is σ = 200200200100214. Its totient is φ = 200200200100212.

The previous prime is 200200200100129. The next prime is 200200200100217. The reversal of 200200200100213 is 312001002002002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173963912653444 + 26236287446769 = 13189538^2 + 5122137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200200200100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200200200100193 and 200200200100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200200200100217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100100050106 + 100100100050107.

It is an arithmetic number, because the mean of its divisors is an integer number (100100100050107).

Almost surely, 2200200200100213 is an apocalyptic number.

It is an amenable number.

200200200100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

200200200100213 is an equidigital number, since it uses as much as digits as its factorization.

200200200100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 200200200100213 its reverse (312001002002002), we get a palindrome (512201202102215).

The spelling of 200200200100213 in words is "two hundred trillion, two hundred billion, two hundred million, one hundred thousand, two hundred thirteen".