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213313331 = 71117891831
BaseRepresentation
bin11001011011011…
…10011100110011
3112212101102212202
430231232130303
5414102011311
633100013415
75200063520
oct1455563463
9485342782
10213313331
11aa456510
125b53126b
133526900a
142048a147
1513ad8e3b
hexcb6e733

213313331 has 32 divisors (see below), whose sum is σ = 284912640. Its totient is φ = 154598400.

The previous prime is 213313301. The next prime is 213313343. The reversal of 213313331 is 133313312.

It is not a de Polignac number, because 213313331 - 26 = 213313267 is a prime.

It is a super-2 number, since 2×2133133312 = 91005154364631122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213313301) 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 31 ways as a sum of consecutive naturals, for example, 115586 + ... + 117416.

It is an arithmetic number, because the mean of its divisors is an integer number (8903520).

Almost surely, 2213313331 is an apocalyptic number.

213313331 is a deficient number, since it is larger than the sum of its proper divisors (71599309).

213313331 is a wasteful number, since it uses less digits than its factorization.

213313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955.

The product of its digits is 486, while the sum is 20.

The square root of 213313331 is about 14605.2501176803. The cubic root of 213313331 is about 597.5019575924.

Adding to 213313331 its reverse (133313312), we get a palindrome (346626643).

The spelling of 213313331 in words is "two hundred thirteen million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 11 17 77 89 119 187 623 979 1309 1513 1831 6853 10591 12817 16643 20141 31127 116501 140987 162959 217889 342397 1140713 1792549 2396779 2770303 12547843 19392121 30473333 213313331