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12131322300 = 22325213996973
BaseRepresentation
bin10110100110001010…
…10100100110111100
31011022110020000200100
423103011110212330
5144321104303200
65323440201100
7606424352406
oct132305244674
934273200610
1012131322300
1151658a6aa9
122426909190
1311b4424126
14831243b76
154b0060d00
hex2d31549bc

12131322300 has 108 divisors (see below), whose sum is σ = 38298911560. Its totient is φ = 3211712640.

The previous prime is 12131322299. The next prime is 12131322323. The reversal of 12131322300 is 322313121.

12131322300 is a `hidden beast` number, since 12 + 1 + 31 + 322 + 300 = 666.

12131322300 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 76614 + ... + 173586.

Almost surely, 212131322300 is an apocalyptic number.

12131322300 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 12131322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19149455780).

12131322300 is an abundant number, since it is smaller than the sum of its proper divisors (26167589260).

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

12131322300 is a wasteful number, since it uses less digits than its factorization.

12131322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97132 (or 97122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12131322300 its reverse (322313121), we get a palindrome (12453635421).

The spelling of 12131322300 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 139 150 180 225 278 300 417 450 556 695 834 900 1251 1390 1668 2085 2502 2780 3475 4170 5004 6255 6950 8340 10425 12510 13900 20850 25020 31275 41700 62550 96973 125100 193946 290919 387892 484865 581838 872757 969730 1163676 1454595 1745514 1939460 2424325 2909190 3491028 4363785 4848650 5818380 7272975 8727570 9697300 13479247 14545950 17455140 21818925 26958494 29091900 40437741 43637850 53916988 67396235 80875482 87275700 121313223 134792470 161750964 202188705 242626446 269584940 336981175 404377410 485252892 606566115 673962350 808754820 1010943525 1213132230 1347924700 2021887050 2426264460 3032830575 4043774100 6065661150 12131322300