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213202181 is a prime number
BaseRepresentation
bin11001011010100…
…11010100000101
3112212011210102002
430231103110011
5414034432211
633053355045
75166121463
oct1455232405
9485153362
10213202181
11aa38aa55
125b498a85
133522a54a
142045b833
1513ab603b
hexcb53505

213202181 has 2 divisors, whose sum is σ = 213202182. Its totient is φ = 213202180.

The previous prime is 213202153. The next prime is 213202247. The reversal of 213202181 is 181202312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199769956 + 13432225 = 14134^2 + 3665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213202181 is a prime.

It is a super-2 number, since 2×2132021812 = 90910339966313522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213202981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106601090 + 106601091.

It is an arithmetic number, because the mean of its divisors is an integer number (106601091).

Almost surely, 2213202181 is an apocalyptic number.

It is an amenable number.

213202181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213202181 is an equidigital number, since it uses as much as digits as its factorization.

213202181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 213202181 is about 14601.4444833379. Note that the first 4 decimals coincide. The cubic root of 213202181 is about 597.3981605463.

Adding to 213202181 its reverse (181202312), we get a palindrome (394404493).

The spelling of 213202181 in words is "two hundred thirteen million, two hundred two thousand, one hundred eighty-one".