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2112104700 = 2233523592179
BaseRepresentation
bin111110111100100…
…0010100011111100
312110012022000222000
41331321002203330
513311144322300
6545325422300
7103224410436
oct17571024374
95405260860
102112104700
11994256582
124ab40a990
132787686c4
1416071b656
15c5658c00
hex7de428fc

2112104700 has 144 divisors (see below), whose sum is σ = 6812064000. Its totient is φ = 561401280.

The previous prime is 2112104699. The next prime is 2112104719. The reversal of 2112104700 is 74012112.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 968211 + ... + 970389.

It is an arithmetic number, because the mean of its divisors is an integer number (47306000).

Almost surely, 22112104700 is an apocalyptic number.

2112104700 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 2112104700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406032000).

2112104700 is an abundant number, since it is smaller than the sum of its proper divisors (4699959300).

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

2112104700 is a wasteful number, since it uses less digits than its factorization.

2112104700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2112104700 is about 45957.6402788481. The cubic root of 2112104700 is about 1283.0349329639.

Adding to 2112104700 its reverse (74012112), we get a palindrome (2186116812).

The spelling of 2112104700 in words is "two billion, one hundred twelve million, one hundred four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 359 450 540 675 718 900 1077 1350 1436 1795 2154 2179 2700 3231 3590 4308 4358 5385 6462 6537 7180 8716 8975 9693 10770 10895 12924 13074 16155 17950 19386 19611 21540 21790 26148 26925 32310 32685 35900 38772 39222 43580 48465 53850 54475 58833 64620 65370 78444 80775 96930 98055 107700 108950 117666 130740 161550 163425 193860 196110 217900 235332 242325 294165 323100 326850 392220 484650 490275 588330 653700 782261 969300 980550 1176660 1470825 1564522 1961100 2346783 2941650 3129044 3911305 4693566 5883300 7040349 7822610 9387132 11733915 14080698 15645220 19556525 21121047 23467830 28161396 35201745 39113050 42242094 46935660 58669575 70403490 78226100 84484188 105605235 117339150 140806980 176008725 211210470 234678300 352017450 422420940 528026175 704034900 1056052350 2112104700