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12253131 = 3211612029
BaseRepresentation
bin101110101111…
…011111001011
3212001112010200
4232233133023
511114100011
61114343243
7206102262
oct56573713
925045120
1012253131
116a09a60
12412ab23
132700297
1418ad5d9
151120856
hexbaf7cb

12253131 has 24 divisors (see below), whose sum is σ = 19634160. Its totient is φ = 7300800.

The previous prime is 12253127. The next prime is 12253133. The reversal of 12253131 is 13135221.

It is not a de Polignac number, because 12253131 - 22 = 12253127 is a prime.

It is a super-2 number, since 2×122531312 = 300278438606322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12253133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (818090).

Almost surely, 212253131 is an apocalyptic number.

12253131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12253131 is a deficient number, since it is larger than the sum of its proper divisors (7381029).

12253131 is a wasteful number, since it uses less digits than its factorization.

12253131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2104 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12253131 is about 3500.4472571373. The cubic root of 12253131 is about 230.5414527612.

Adding to 12253131 its reverse (13135221), we get a palindrome (25388352).

It can be divided in two parts, 1225 and 3131, that added together give a square (4356 = 662).

The spelling of 12253131 in words is "twelve million, two hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 2029 6039 6087 18261 22319 66957 123769 200871 371307 1113921 1361459 4084377 12253131