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211133221 = 1326411949
BaseRepresentation
bin11001001010110…
…10001100100101
3112201021200022221
430211122030211
5413022230341
632541152341
75142413515
oct1445321445
9481250287
10211133221
11a91a7572
125a85b6b1
1334984900
142007d845
1513807ed1
hexc95a325

211133221 has 12 divisors (see below), whose sum is σ = 229097700. Its totient is φ = 194488320.

The previous prime is 211133213. The next prime is 211133249. The reversal of 211133221 is 122331112.

It can be written as a sum of positive squares in 6 ways, for example, as 12321 + 211120900 = 111^2 + 14530^2 .

It is not a de Polignac number, because 211133221 - 23 = 211133213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211133195 and 211133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133521) 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 11 ways as a sum of consecutive naturals, for example, 107355 + ... + 109303.

It is an arithmetic number, because the mean of its divisors is an integer number (19091475).

Almost surely, 2211133221 is an apocalyptic number.

It is an amenable number.

211133221 is a deficient number, since it is larger than the sum of its proper divisors (17964479).

211133221 is a wasteful number, since it uses less digits than its factorization.

211133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2603 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 211133221 is about 14530.4239786732. The cubic root of 211133221 is about 595.4594488164.

Adding to 211133221 its reverse (122331112), we get a palindrome (333464333).

The spelling of 211133221 in words is "two hundred eleven million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 13 169 641 1949 8333 25337 108329 329381 1249309 16241017 211133221