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211232133 = 32731110781
BaseRepresentation
bin11001001011100…
…10010110000101
3112201110201000100
430211302112011
5413033412013
632543234313
75143305060
oct1445622605
9481421010
10211232133
11a9264912
125a8a8999
13349ba938
14200a78d7
1513827473
hexc972585

211232133 has 24 divisors (see below), whose sum is σ = 349854336. Its totient is φ = 120304800.

The previous prime is 211232117. The next prime is 211232141. The reversal of 211232133 is 331232112.

It is not a de Polignac number, because 211232133 - 24 = 211232117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232113) 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 23 ways as a sum of consecutive naturals, for example, 14203 + ... + 24983.

It is an arithmetic number, because the mean of its divisors is an integer number (14577264).

Almost surely, 2211232133 is an apocalyptic number.

It is an amenable number.

211232133 is a deficient number, since it is larger than the sum of its proper divisors (138622203).

211232133 is a wasteful number, since it uses less digits than its factorization.

211232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11102 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 211232133 is about 14533.8271972664. The cubic root of 211232133 is about 595.5524215369.

Adding to 211232133 its reverse (331232112), we get a palindrome (542464245).

It can be divided in two parts, 21123213 and 3, that added together give a square (21123216 = 45962).

The spelling of 211232133 in words is "two hundred eleven million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 311 933 2177 2799 6531 10781 19593 32343 75467 97029 226401 679203 3352891 10058673 23470237 30176019 70410711 211232133