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13232203230200 = 2352676691147583
BaseRepresentation
bin1100000010001101110011…
…0001011110101111111000
31201211222121222211210210112
43000203130301132233320
53213244023011331300
644050442405403452
72533665221446043
oct300433461365770
951758558753715
1013232203230200
114241822840429
1215985a6109588
1374ca39962396
1433a628dcdc5a
1517e2eed8de35
hexc08dcc5ebf8

13232203230200 has 96 divisors (see below), whose sum is σ = 31228927887360. Its totient is φ = 5213068502400.

The previous prime is 13232203230187. The next prime is 13232203230217. The reversal of 13232203230200 is 203230223231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89585609 + ... + 89733191.

It is an arithmetic number, because the mean of its divisors is an integer number (325301332160).

Almost surely, 213232203230200 is an apocalyptic number.

13232203230200 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 13232203230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614463943680).

13232203230200 is an abundant number, since it is smaller than the sum of its proper divisors (17996724657160).

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

13232203230200 is a wasteful number, since it uses less digits than its factorization.

13232203230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154357 (or 154348 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13232203230200 its reverse (203230223231), we get a palindrome (13435433453431).

The spelling of 13232203230200 in words is "thirteen trillion, two hundred thirty-two billion, two hundred three million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6691 6700 13382 13400 26764 33455 53528 66910 133820 147583 167275 267640 295166 334550 448297 590332 669100 737915 896594 1180664 1338200 1475830 1793188 2241485 2951660 3586376 3689575 4482970 5903320 7379150 8965940 9888061 11207425 14758300 17931880 19776122 22414850 29516600 39552244 44829700 49440305 79104488 89659400 98880610 197761220 247201525 395522440 494403050 987477853 988806100 1974955706 1977612200 3949911412 4937389265 7899822824 9874778530 19749557060 24686946325 39499114120 49373892650 66161016151 98747785300 132322032302 197495570600 264644064604 330805080755 529288129208 661610161510 1323220323020 1654025403775 2646440646040 3308050807550 6616101615100 13232203230200