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205326313 = 2359831823
BaseRepresentation
bin11000011110100…
…00011111101001
3112022100122202021
430033100133221
5410030420223
632212504441
75042146663
oct1417203751
9468318667
10205326313
11a59a0775
125891b121
133370077a
141d3ab533
151305c65d
hexc3d07e9

205326313 has 16 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 190639504.

The previous prime is 205326307. The next prime is 205326343. The reversal of 205326313 is 313623502.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205326313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205326343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111720 + ... + 113542.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2205326313 is an apocalyptic number.

205326313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205326313 is a deficient number, since it is larger than the sum of its proper divisors (15304727).

205326313 is a wasteful number, since it uses less digits than its factorization.

205326313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 205326313 is about 14329.2118764432. The cubic root of 205326313 is about 589.9495437077.

Adding to 205326313 its reverse (313623502), we get a palindrome (518949815).

The spelling of 205326313 in words is "two hundred five million, three hundred twenty-six thousand, three hundred thirteen".

Divisors: 1 23 59 83 1357 1823 1909 4897 41929 107557 112631 151309 2473811 3480107 8927231 205326313