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35009213 is a prime number
BaseRepresentation
bin1000010110001…
…1001010111101
32102212122121112
42011203022331
532430243323
63250211405
7603400451
oct205431275
972778545
1035009213
1118841a38
12b883b65
13733a015
144914661
153118178
hex21632bd

35009213 has 2 divisors, whose sum is σ = 35009214. Its totient is φ = 35009212.

The previous prime is 35009209. The next prime is 35009257. The reversal of 35009213 is 31290053.

It is a happy number.

35009213 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., 34550884 + 458329 = 5878^2 + 677^2 .

It is a cyclic number.

It is not a de Polignac number, because 35009213 - 22 = 35009209 is a prime.

It is equal to p2147306 and since 35009213 and 2147306 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35009263) 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, 17504606 + 17504607.

It is an arithmetic number, because the mean of its divisors is an integer number (17504607).

Almost surely, 235009213 is an apocalyptic number.

It is an amenable number.

35009213 is a deficient number, since it is larger than the sum of its proper divisors (1).

35009213 is an equidigital number, since it uses as much as digits as its factorization.

35009213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 35009213 is about 5916.8583724811. The cubic root of 35009213 is about 327.1353297713.

Adding to 35009213 its reverse (31290053), we get a palindrome (66299266).

The spelling of 35009213 in words is "thirty-five million, nine thousand, two hundred thirteen".