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12138357 = 3711217281
BaseRepresentation
bin101110010011…
…011101110101
3211211200200210
4232103131311
511101411412
61112100033
7205113540
oct56233565
924750623
1012138357
116940800
124094619
13268cc7a
14187d857
1510eb83c
hexb93775

12138357 has 48 divisors (see below), whose sum is σ = 21603456. Its totient is φ = 5913600.

The previous prime is 12138353. The next prime is 12138383. The reversal of 12138357 is 75383121.

12138357 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12138357 - 22 = 12138353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43057 + ... + 43337.

It is an arithmetic number, because the mean of its divisors is an integer number (450072).

Almost surely, 212138357 is an apocalyptic number.

12138357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12138357 is a deficient number, since it is larger than the sum of its proper divisors (9465099).

12138357 is a wasteful number, since it uses less digits than its factorization.

12138357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12138357 is about 3484.0144948034. The cubic root of 12138357 is about 229.8193729923.

The spelling of 12138357 in words is "twelve million, one hundred thirty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 281 357 363 561 843 847 1309 1967 2057 2541 3091 3927 4777 5901 6171 9273 14331 14399 21637 33439 34001 43197 52547 64911 100317 102003 157641 238007 367829 578017 714021 1103487 1734051 4046119 12138357