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1200011110100 = 2252118928034373
BaseRepresentation
bin10001011101100110001…
…111000110011011010100
311020201102211121120011122
4101131212033012123110
5124130110321010400
62315135534423112
7152461252065005
oct21354617063324
94221384546148
101200011110100
11422a15a952a0
121746a1361a98
13892119a792a
144211bbbb1ac
1521335b82685
hex117663c66d4

1200011110100 has 144 divisors (see below), whose sum is σ = 2874354154560. Its totient is φ = 431212108800.

The previous prime is 1200011110097. The next prime is 1200011110163. The reversal of 1200011110100 is 10111100021.

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 47 ways as a sum of consecutive naturals, for example, 274411514 + ... + 274415886.

It is an arithmetic number, because the mean of its divisors is an integer number (19960792740).

Almost surely, 21200011110100 is an apocalyptic number.

1200011110100 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 1200011110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437177077280).

1200011110100 is an abundant number, since it is smaller than the sum of its proper divisors (1674343044460).

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

1200011110100 is a wasteful number, since it uses less digits than its factorization.

1200011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1200011110100 its reverse (10111100021), we get a palindrome (1210122210121).

The spelling of 1200011110100 in words is "one trillion, two hundred billion, eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 2803 3916 4373 4450 4895 5606 8746 8900 9790 11212 14015 17492 19580 21865 24475 28030 30833 43730 48103 48950 56060 61666 70075 87460 96206 97900 109325 123332 140150 154165 192412 218650 240515 249467 280300 308330 389197 437300 481030 498934 616660 770825 778394 962060 997868 1202575 1247335 1541650 1556788 1945985 2405150 2494670 2744137 3083300 3891970 4281167 4810300 4989340 5488274 6236675 7783940 8562334 9729925 10976548 12257519 12473350 13720685 17124668 19459850 21405835 24515038 24946700 27441370 38919700 42811670 49030076 54882740 61287595 68603425 85623340 107029175 122575190 134832709 137206850 214058350 245150380 269665418 274413700 306437975 428116700 539330836 612875950 674163545 1090919191 1225751900 1348327090 2181838382 2696654180 3370817725 4363676764 5454595955 6741635450 10909191910 12000111101 13483270900 21818383820 24000222202 27272979775 48000444404 54545959550 60000555505 109091919100 120001111010 240002222020 300002777525 600005555050 1200011110100