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2000111111100 = 223352937790589
BaseRepresentation
bin11101000110101111111…
…010011000101110111100
321002012122011220212202000
4131012233322120232330
5230232211421023400
64130501030302300
7264334421635104
oct35065772305674
97065564825660
102000111111100
11701273641243
122837751b7990
131167c059839b
146cb3d534204
1537062b29600
hex1d1afe98bbc

2000111111100 has 144 divisors (see below), whose sum is σ = 6436857285600. Its totient is φ = 532793064960.

The previous prime is 2000111111099. The next prime is 2000111111123. The reversal of 2000111111100 is 11111110002.

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

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, 2134606 + ... + 2925194.

Almost surely, 22000111111100 is an apocalyptic number.

2000111111100 is a gapful number since it is divisible by the number (20) 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 2000111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218428642800).

2000111111100 is an abundant number, since it is smaller than the sum of its proper divisors (4436746174500).

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

2000111111100 is a wasteful number, since it uses less digits than its factorization.

2000111111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791549 (or 791536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2000111111100 its reverse (11111110002), we get a palindrome (2011222221102).

The spelling of 2000111111100 in words is "two trillion, one hundred eleven million, one hundred eleven 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 90 100 108 135 150 180 225 270 300 450 540 675 900 937 1350 1874 2700 2811 3748 4685 5622 8433 9370 11244 14055 16866 18740 23425 25299 28110 33732 42165 46850 50598 56220 70275 84330 93700 101196 126495 140550 168660 210825 252990 281100 421650 505980 632475 790589 843300 1264950 1581178 2371767 2529900 3162356 3952945 4743534 7115301 7905890 9487068 11858835 14230602 15811780 19764725 21345903 23717670 28461204 35576505 39529450 42691806 47435340 59294175 71153010 79058900 85383612 106729515 118588350 142306020 177882525 213459030 237176700 355765050 426918060 533647575 711530100 740781893 1067295150 1481563786 2134590300 2222345679 2963127572 3703909465 4444691358 6667037037 7407818930 8889382716 11111728395 13334074074 14815637860 18519547325 20001111111 22223456790 26668148148 33335185185 37039094650 40002222222 44446913580 55558641975 66670370370 74078189300 80004444444 100005555555 111117283950 133340740740 166675925925 200011111110 222234567900 333351851850 400022222220 500027777775 666703703700 1000055555550 2000111111100