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210034217 is a prime number
BaseRepresentation
bin11001000010011…
…01111000101001
3112122012211210002
430201031320221
5412232043332
632501432345
75130155441
oct1441157051
9478184702
10210034217
11a86168a8
125a40b6b5
133468b603
141dc75121
151368c562
hexc84de29

210034217 has 2 divisors, whose sum is σ = 210034218. Its totient is φ = 210034216.

The previous prime is 210034169. The next prime is 210034243. The reversal of 210034217 is 712430012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106584976 + 103449241 = 10324^2 + 10171^2 .

It is a cyclic number.

It is not a de Polignac number, because 210034217 - 214 = 210017833 is a prime.

It is a super-2 number, since 2×2100342172 = 88228744621606178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (210234217) 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, 105017108 + 105017109.

It is an arithmetic number, because the mean of its divisors is an integer number (105017109).

Almost surely, 2210034217 is an apocalyptic number.

It is an amenable number.

210034217 is a deficient number, since it is larger than the sum of its proper divisors (1).

210034217 is an equidigital number, since it uses as much as digits as its factorization.

210034217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 210034217 is about 14492.5572967644. The cubic root of 210034217 is about 594.4244765671.

Adding to 210034217 its reverse (712430012), we get a palindrome (922464229).

It can be divided in two parts, 210034 and 217, that multiplied together give a triangular number (45577378 = T9547).

The spelling of 210034217 in words is "two hundred ten million, thirty-four thousand, two hundred seventeen".