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12113132200 = 23521331150287
BaseRepresentation
bin10110100011111111…
…11011101010101000
31011021011222212112221
423101333323222220
5144301430212300
65321550243424
7606113632141
oct132177735250
934234885487
1012113132200
115156602564
1224207b6574
1311b0725760
1482ca6aac8
154ad66b31a
hex2d1ffbaa8

12113132200 has 96 divisors (see below), whose sum is σ = 31307996160. Its totient is φ = 4328236800.

The previous prime is 12113132197. The next prime is 12113132219. The reversal of 12113132200 is 223131121.

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, 5457 + ... + 155743.

It is an arithmetic number, because the mean of its divisors is an integer number (326124960).

Almost surely, 212113132200 is an apocalyptic number.

12113132200 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 12113132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653998080).

12113132200 is an abundant number, since it is smaller than the sum of its proper divisors (19194863960).

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

12113132200 is a wasteful number, since it uses less digits than its factorization.

12113132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150347 (or 150338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12113132200 its reverse (223131121), we get a palindrome (12336263321).

The spelling of 12113132200 in words is "twelve billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 40300 80600 150287 300574 601148 751435 1202296 1502870 1953731 3005740 3757175 3907462 4658897 6011480 7514350 7814924 9317794 9768655 15028700 15629848 18635588 19537310 23294485 30057400 37271176 39074620 46588970 48843275 60565661 78149240 93177940 97686550 116472425 121131322 186355880 195373100 232944850 242262644 302828305 390746200 465889700 484525288 605656610 931779400 1211313220 1514141525 2422626440 3028283050 6056566100 12113132200