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12110313200 = 2452163281661
BaseRepresentation
bin10110100011101010…
…01011011011110000
31011020222200122121112
423101311023123300
5144300220010300
65321410012452
7606050651366
oct132165133360
934228618545
1012110313200
115154a57607
12241b877128
1311acc795cb
1482c535636
154ad2b0e35
hex2d1d4b6f0

12110313200 has 120 divisors (see below), whose sum is σ = 29422145136. Its totient is φ = 4790016000.

The previous prime is 12110313197. The next prime is 12110313227. The reversal of 12110313200 is 231301121.

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, 18320870 + ... + 18321530.

Almost surely, 212110313200 is an apocalyptic number.

12110313200 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 12110313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711072568).

12110313200 is an abundant number, since it is smaller than the sum of its proper divisors (17311831936).

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

12110313200 is a wasteful number, since it uses less digits than its factorization.

12110313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12110313200 its reverse (231301121), we get a palindrome (12341614321).

The spelling of 12110313200 in words is "twelve billion, one hundred ten million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 281 326 400 562 652 661 815 1124 1304 1322 1405 1630 2248 2608 2644 2810 3260 3305 4075 4496 5288 5620 6520 6610 7025 8150 10576 11240 13040 13220 14050 16300 16525 22480 26440 28100 32600 33050 45803 52880 56200 65200 66100 91606 107743 112400 132200 183212 185741 215486 229015 264400 366424 371482 430972 458030 538715 732848 742964 861944 916060 928705 1077430 1145075 1485928 1723888 1832120 1857410 2154860 2290150 2693575 2971856 3664240 3714820 4309720 4580300 4643525 5387150 7429640 8619440 9160600 9287050 10774300 14859280 18321200 18574100 21548600 30275783 37148200 43097200 60551566 74296400 121103132 151378915 242206264 302757830 484412528 605515660 756894575 1211031320 1513789150 2422062640 3027578300 6055156600 12110313200