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12133827 = 334197113
BaseRepresentation
bin101110010010…
…010111000011
3211211110111000
4232102113003
511101240302
61112023043
7205064406
oct56222703
924743430
1012133827
116938362
124091a83
13268aba4
14187bd3d
1510ea31c
hexb925c3

12133827 has 32 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 7741440.

The previous prime is 12133819. The next prime is 12133843. The reversal of 12133827 is 72833121.

12133827 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12133827 - 23 = 12133819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12133827.

It is not an unprimeable number, because it can be changed into a prime (12133867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107323 + ... + 107435.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 212133827 is an apocalyptic number.

12133827 is a deficient number, since it is larger than the sum of its proper divisors (6635133).

12133827 is a wasteful number, since it uses less digits than its factorization.

12133827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12133827 is about 3483.3643220312. The cubic root of 12133827 is about 229.7907801249.

Adding to 12133827 its reverse (72833121), we get a palindrome (84966948).

The spelling of 12133827 in words is "twelve million, one hundred thirty-three thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 41 97 113 123 291 339 369 873 1017 1107 2619 3051 3977 4633 10961 11931 13899 32883 35793 41697 98649 107379 125091 295947 449401 1348203 4044609 12133827