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2112100200 = 2332527167627
BaseRepresentation
bin111110111100100…
…0001011101101000
312110012021210210100
41331321001131220
513311144201300
6545325345400
7103224361350
oct17571013550
95405253710
102112100200
11994253161
124ab408260
13278766642
14160719b60
15c5657700
hex7de41768

2112100200 has 144 divisors (see below), whose sum is σ = 8106490080. Its totient is φ = 482762880.

The previous prime is 2112100171. The next prime is 2112100201. The reversal of 2112100200 is 20012112.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2112100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71214 + ... + 96413.

It is an arithmetic number, because the mean of its divisors is an integer number (56295070).

Almost surely, 22112100200 is an apocalyptic number.

2112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100200 is an abundant number, since it is smaller than the sum of its proper divisors (5994389880).

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

2112100200 is a wasteful number, since it uses less digits than its factorization.

2112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167656 (or 167644 counting only the distinct ones).

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

The square root of 2112100200 is about 45957.5913206948. The cubic root of 2112100200 is about 1283.0340217621.

Adding to 2112100200 its reverse (20012112), we get a palindrome (2132112312).

The spelling of 2112100200 in words is "two billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 167627 335254 502881 670508 838135 1005762 1173389 1341016 1508643 1676270 2011524 2346778 2514405 3017286 3352540 3520167 4023048 4190675 4693556 5028810 5866945 6034572 6705080 7040334 7543215 8381350 9387112 10057620 10560501 11733890 12069144 12572025 14080668 15086430 16762700 17600835 20115240 21121002 23467780 25144050 28161336 29334725 30172860 33525400 35201670 37716075 42242004 46935560 50288100 52802505 58669450 60345720 70403340 75432150 84484008 88004175 100576200 105605010 117338900 140806680 150864300 176008350 211210020 234677800 264012525 301728600 352016700 422420040 528025050 704033400 1056050100 2112100200