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1200111002100 = 2232528316065743
BaseRepresentation
bin10001011101101100001…
…100001010000111110100
311020201200210120121020100
4101131230030022013310
5124130311404031400
62315153503434100
7152463604130223
oct21355414120764
94221623517210
101200111002100
11422a6741266a
1217470a8b5930
13892295b121a
144212b180cba
152133e815100
hex1176c30a1f4

1200111002100 has 108 divisors (see below), whose sum is σ = 3807002961216. Its totient is φ = 316173802560.

The previous prime is 1200111002071. The next prime is 1200111002117. The reversal of 1200111002100 is 12001110021.

It is a happy number.

It is a super-2 number, since 2×12001110021002 (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7958172 + ... + 8107571.

Almost surely, 21200111002100 is an apocalyptic number.

1200111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200111002100 is an abundant number, since it is smaller than the sum of its proper divisors (2606891959116).

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

1200111002100 is a wasteful number, since it uses less digits than its factorization.

1200111002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065846 (or 16065836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200111002100 its reverse (12001110021), we get a palindrome (1212112112121).

1200111002100 divided by its reverse (12001110021) gives a square (100 = 102).

The spelling of 1200111002100 in words is "one trillion, two hundred billion, one hundred eleven million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 37350 74700 16065743 32131486 48197229 64262972 80328715 96394458 144591687 160657430 192788916 240986145 289183374 321314860 401643575 481972290 578366748 722958435 803287150 963944580 1204930725 1333456669 1445916870 1606574300 2409861450 2666913338 2891833740 3614792175 4000370007 4819722900 5333826676 6667283345 7229584350 8000740014 12001110021 13334566690 14459168700 16001480028 20001850035 24002220042 26669133380 33336416725 40003700070 48004440084 60005550105 66672833450 80007400140 100009250175 120011100210 133345666900 200018500350 240022200420 300027750525 400037000700 600055501050 1200111002100