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12203103200 = 2552173724251
BaseRepresentation
bin10110101110101110…
…01001001111100000
31011111110021212120012
423113113021033200
5144442443300300
65334522504052
7611255444231
oct132727111740
934443255505
1012203103200
1151a2374062
122446965028
1311c6267432
1483a9ab088
154b64de435
hex2d75c93e0

12203103200 has 144 divisors (see below), whose sum is σ = 32397082704. Its totient is φ = 4469760000.

The previous prime is 12203103161. The next prime is 12203103287. The reversal of 12203103200 is 230130221.

It is a happy number.

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, 491075 + ... + 515325.

It is an arithmetic number, because the mean of its divisors is an integer number (224979741).

Almost surely, 212203103200 is an apocalyptic number.

12203103200 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 12203103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198541352).

12203103200 is an abundant number, since it is smaller than the sum of its proper divisors (20193979504).

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

12203103200 is a wasteful number, since it uses less digits than its factorization.

12203103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24325 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12203103200 its reverse (230130221), we get a palindrome (12433233421).

The spelling of 12203103200 in words is "twelve billion, two hundred three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 37 40 50 68 74 80 85 100 136 148 160 170 185 200 272 296 340 370 400 425 544 592 629 680 740 800 850 925 1184 1258 1360 1480 1700 1850 2516 2720 2960 3145 3400 3700 5032 5920 6290 6800 7400 10064 12580 13600 14800 15725 20128 24251 25160 29600 31450 48502 50320 62900 97004 100640 121255 125800 194008 242510 251600 388016 412267 485020 503200 606275 776032 824534 897287 970040 1212550 1649068 1794574 1940080 2061335 2425100 3298136 3589148 3880160 4122670 4486435 4850200 6596272 7178296 8245340 8972870 9700400 10306675 13192544 14356592 15253879 16490680 17945740 19400800 20613350 22432175 28713184 30507758 32981360 35891480 41226700 44864350 61015516 65962720 71782960 76269395 82453400 89728700 122031032 143565920 152538790 164906800 179457400 244062064 305077580 329813600 358914800 381346975 488124128 610155160 717829600 762693950 1220310320 1525387900 2440620640 3050775800 6101551600 12203103200