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214112133 = 3329318821
BaseRepresentation
bin11001100001100…
…01011110000101
3112220220000122000
430300301132011
5414303042013
633125055513
75206631424
oct1460613605
9486800560
10214112133
11aa951684
125b857599
1335488791
14206172bb
1513be5973
hexcc31785

214112133 has 32 divisors (see below), whose sum is σ = 338764800. Its totient is φ = 133358400.

The previous prime is 214112131. The next prime is 214112137. The reversal of 214112133 is 331211412.

It is not a de Polignac number, because 214112133 - 21 = 214112131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214112131) 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 31 ways as a sum of consecutive naturals, for example, 19863 + ... + 28683.

It is an arithmetic number, because the mean of its divisors is an integer number (10586400).

Almost surely, 2214112133 is an apocalyptic number.

It is an amenable number.

214112133 is a deficient number, since it is larger than the sum of its proper divisors (124652667).

214112133 is a wasteful number, since it uses less digits than its factorization.

214112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8884 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 214112133 is about 14632.5709634363. The cubic root of 214112133 is about 598.2468574746.

Adding to 214112133 its reverse (331211412), we get a palindrome (545323545).

The spelling of 214112133 in words is "two hundred fourteen million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 31 87 93 261 279 783 837 899 2697 8091 8821 24273 26463 79389 238167 255809 273451 767427 820353 2302281 2461059 6906843 7383177 7930079 23790237 71370711 214112133