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12131300 = 2252121313
BaseRepresentation
bin101110010001…
…101111100100
3211211100000102
4232101233210
511101200200
61112003232
7205054136
oct56215744
924740012
1012131300
116936475
124090518
1326899ac
14187b056
1510e96d5
hexb91be4

12131300 has 18 divisors (see below), whose sum is σ = 26325138. Its totient is φ = 4852480.

The previous prime is 12131297. The next prime is 12131303. The reversal of 12131300 is 313121.

It is an interprime number because it is at equal distance from previous prime (12131297) and next prime (12131303).

It can be written as a sum of positive squares in 3 ways, for example, as 1737124 + 10394176 = 1318^2 + 3224^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (12131303) 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 5 ways as a sum of consecutive naturals, for example, 60557 + ... + 60756.

Almost surely, 212131300 is an apocalyptic number.

12131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131300 is an abundant number, since it is smaller than the sum of its proper divisors (14193838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131300 is a wasteful number, since it uses less digits than its factorization.

12131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121327 (or 121320 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 12131300 is about 3483.0015790981. The cubic root of 12131300 is about 229.7748268834.

Subtracting from 12131300 its sum of digits (11), we obtain a square (12131289 = 34832).

Adding to 12131300 its reverse (313121), we get a palindrome (12444421).

The spelling of 12131300 in words is "twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121313 242626 485252 606565 1213130 2426260 3032825 6065650 12131300