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213312303 = 32611013847
BaseRepresentation
bin11001011011011…
…10001100101111
3112212101101110200
430231232030233
5414101443203
633100004543
75200060521
oct1455561457
9485341420
10213312303
11aa455766
125b530753
13352686c9
1420489a11
1513ad89a3
hexcb6e32f

213312303 has 24 divisors (see below), whose sum is σ = 316351776. Its totient is φ = 138456000.

The previous prime is 213312283. The next prime is 213312361. The reversal of 213312303 is 303213312.

It is a de Polignac number, because none of the positive numbers 2k-213312303 is a prime.

It is a super-2 number, since 2×2133123032 = 91004277222327618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53526 + ... + 57372.

It is an arithmetic number, because the mean of its divisors is an integer number (13181324).

Almost surely, 2213312303 is an apocalyptic number.

213312303 is a deficient number, since it is larger than the sum of its proper divisors (103039473).

213312303 is a wasteful number, since it uses less digits than its factorization.

213312303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213312303 is about 14605.2149248137. The cubic root of 213312303 is about 597.5009977633.

Adding to 213312303 its reverse (303213312), we get a palindrome (516525615).

The spelling of 213312303 in words is "two hundred thirteen million, three hundred twelve thousand, three hundred three".

Divisors: 1 3 9 61 101 183 303 549 909 3847 6161 11541 18483 34623 55449 234667 388547 704001 1165641 2112003 3496923 23701367 71104101 213312303