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213331131 = 3313896829
BaseRepresentation
bin11001011011100…
…10110010111011
3112212102100022000
430231302302323
5414103044011
633100232043
75200166436
oct1455626273
9485370260
10213331131
11aa468922
125b53b623
1335274150
142049281d
1513ade356
hexcb72cbb

213331131 has 32 divisors (see below), whose sum is σ = 344232000. Its totient is φ = 129786624.

The previous prime is 213331109. The next prime is 213331169. The reversal of 213331131 is 131133312.

It is a happy number.

It is not a de Polignac number, because 213331131 - 25 = 213331099 is a prime.

It is a super-2 number, since 2×2133311312 = 91020342907478322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213331631) 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, 27825 + ... + 34653.

It is an arithmetic number, because the mean of its divisors is an integer number (10757250).

Almost surely, 2213331131 is an apocalyptic number.

213331131 is a deficient number, since it is larger than the sum of its proper divisors (130900869).

213331131 is a wasteful number, since it uses less digits than its factorization.

213331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6934 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 213331131 is about 14605.8594748820. The cubic root of 213331131 is about 597.5185767116.

Adding to 213331131 its reverse (131133312), we get a palindrome (344464443).

The spelling of 213331131 in words is "two hundred thirteen million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 89 117 267 351 801 1157 2403 3471 6829 10413 20487 31239 61461 88777 184383 266331 607781 798993 1823343 2396979 5470029 7901153 16410087 23703459 71110377 213331131