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12131100 = 2233524493
BaseRepresentation
bin101110010001…
…101100011100
3211211022202000
4232101230130
511101143400
61112002300
7205053432
oct56215434
924738660
1012131100
116936303
124090390
132689887
14187ad52
1510e9600
hexb91b1c

12131100 has 72 divisors (see below), whose sum is σ = 39007920. Its totient is φ = 3234240.

The previous prime is 12131099. The next prime is 12131113. The reversal of 12131100 is 113121.

12131100 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 a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454 + ... + 4946.

Almost surely, 212131100 is an apocalyptic number.

12131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503960).

12131100 is an abundant number, since it is smaller than the sum of its proper divisors (26876820).

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

12131100 is a wasteful number, since it uses less digits than its factorization.

12131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 12131100 is about 3482.9728681114. The cubic root of 12131100 is about 229.7735641658.

Adding to 12131100 its reverse (113121), we get a palindrome (12244221).

The spelling of 12131100 in words is "twelve million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4493 8986 13479 17972 22465 26958 40437 44930 53916 67395 80874 89860 112325 121311 134790 161748 202185 224650 242622 269580 336975 404370 449300 485244 606555 673950 808740 1010925 1213110 1347900 2021850 2426220 3032775 4043700 6065550 12131100