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12131757 = 3211315967
BaseRepresentation
bin101110010001…
…110110101101
3211211100122100
4232101312231
511101204012
61112005313
7205055361
oct56216655
924740570
1012131757
116936850
124090839
132689c71
14187b2a1
1510e98dc

12131757 has 48 divisors (see below), whose sum is σ = 20367360. Its totient is φ = 6890400.

The previous prime is 12131711. The next prime is 12131759. The reversal of 12131757 is 75713121.

It is a happy number.

It is not a de Polignac number, because 12131757 - 27 = 12131629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131759) 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, 181038 + ... + 181104.

It is an arithmetic number, because the mean of its divisors is an integer number (424320).

Almost surely, 212131757 is an apocalyptic number.

It is an amenable number.

12131757 is a deficient number, since it is larger than the sum of its proper divisors (8235603).

12131757 is a wasteful number, since it uses less digits than its factorization.

12131757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 12131757 is about 3483.0671828146. The cubic root of 12131757 is about 229.7777121410. Note that the first 4 decimals are identical.

Adding to 12131757 its reverse (75713121), we get a palindrome (87844878).

It can be divided in two parts, 121 and 31757, that added together give a triangular number (31878 = T252).

The spelling of 12131757 in words is "twelve million, one hundred thirty-one thousand, seven hundred fifty-seven".