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314200213 is a prime number
BaseRepresentation
bin10010101110100…
…101000010010101
3210220020000122221
4102232211002111
51120413401323
651102222341
710533441415
oct2256450225
9726200587
10314200213
111513a32a8
12892849b1
13501303b2
142da2c645
151c8b655d
hex12ba5095

314200213 has 2 divisors, whose sum is σ = 314200214. Its totient is φ = 314200212.

The previous prime is 314200199. The next prime is 314200241. The reversal of 314200213 is 312002413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300606244 + 13593969 = 17338^2 + 3687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314200213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314200013) 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, 157100106 + 157100107.

It is an arithmetic number, because the mean of its divisors is an integer number (157100107).

Almost surely, 2314200213 is an apocalyptic number.

It is an amenable number.

314200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

314200213 is an equidigital number, since it uses as much as digits as its factorization.

314200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314200213 is about 17725.6935830449. The cubic root of 314200213 is about 679.8328691046.

Adding to 314200213 its reverse (312002413), we get a palindrome (626202626).

It can be divided in two parts, 314200 and 213, that added together give a palindrome (314413).

The spelling of 314200213 in words is "three hundred fourteen million, two hundred thousand, two hundred thirteen".