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211344133 = 711132109149
BaseRepresentation
bin11001001100011…
…01101100000101
3112201200101122111
430212031230011
5413101003013
632545501021
75144252440
oct1446155405
9481611574
10211344133
11a9330a80
125a941771
1334a29900
14200d6657
151384a73d
hexc98db05

211344133 has 48 divisors (see below), whose sum is σ = 289872000. Its totient is φ = 149610240.

The previous prime is 211344127. The next prime is 211344151. The reversal of 211344133 is 331443112.

It is a de Polignac number, because none of the positive numbers 2k-211344133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211344113) 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 in 47 ways as a sum of consecutive naturals, for example, 1418343 + ... + 1418491.

It is an arithmetic number, because the mean of its divisors is an integer number (6039000).

Almost surely, 2211344133 is an apocalyptic number.

It is an amenable number.

211344133 is a deficient number, since it is larger than the sum of its proper divisors (78527867).

211344133 is a wasteful number, since it uses less digits than its factorization.

211344133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 211344133 is about 14537.6797667303. The cubic root of 211344133 is about 595.6576613423.

Adding to 211344133 its reverse (331443112), we get a palindrome (542787245).

The spelling of 211344133 in words is "two hundred eleven million, three hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 109 143 149 169 763 1001 1043 1183 1199 1417 1639 1859 1937 8393 9919 11473 13013 13559 15587 16241 18421 21307 25181 109109 113687 128947 149149 176267 178651 202631 211133 276991 1250557 1418417 1477931 1938937 2322463 2744729 16257241 19213103 30192019 211344133