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12200201100 = 22335242110733
BaseRepresentation
bin10110101110011000…
…00100101110001100
31011111020211102122000
423113030010232030
5144441222413400
65334340352300
7611221666263
oct132714045614
934436742560
1012200201100
1151a077172a
1224459a5690
1311c578c509
1483a4535da
154b6119600
hex2d7304b8c

12200201100 has 144 divisors (see below), whose sum is σ = 39318212640. Its totient is φ = 3245356800.

The previous prime is 12200201087. The next prime is 12200201141. The reversal of 12200201100 is 110200221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1131334 + ... + 1142066.

Almost surely, 212200201100 is an apocalyptic number.

12200201100 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 12200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659106320).

12200201100 is an abundant number, since it is smaller than the sum of its proper divisors (27118011540).

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

12200201100 is a wasteful number, since it uses less digits than its factorization.

12200201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11177 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200201100 its reverse (110200221), we get a palindrome (12310401321).

The spelling of 12200201100 in words is "twelve billion, two hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 421 450 540 675 842 900 1263 1350 1684 2105 2526 2700 3789 4210 5052 6315 7578 8420 10525 10733 11367 12630 15156 18945 21050 21466 22734 25260 31575 32199 37890 42100 42932 45468 53665 56835 63150 64398 75780 94725 96597 107330 113670 126300 128796 160995 189450 193194 214660 227340 268325 284175 289791 321990 378900 386388 482985 536650 568350 579582 643980 804975 965970 1073300 1136700 1159164 1448955 1609950 1931940 2414925 2897910 3219900 4518593 4829850 5795820 7244775 9037186 9659700 13555779 14489550 18074372 22592965 27111558 28979100 40667337 45185930 54223116 67778895 81334674 90371860 112964825 122002011 135557790 162669348 203336685 225929650 244004022 271115580 338894475 406673370 451859300 488008044 610010055 677788950 813346740 1016683425 1220020110 1355577900 2033366850 2440040220 3050050275 4066733700 6100100550 12200201100