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2112040440200 = 2352109587165047
BaseRepresentation
bin11110101110111111011…
…010111001000110001000
321110220112201200221002102
4132232333122321012020
5234100424323041300
64254131420252532
7305406221350535
oct36567732710610
97426481627072
102112040440200
11744790849909
122a13b20a1148
1312421a6c7632
147431aa57d8c
1539e142c50d5
hex1ebbf6b9188

2112040440200 has 96 divisors (see below), whose sum is σ = 4964016657600. Its totient is φ = 835634499840.

The previous prime is 2112040440161. The next prime is 2112040440217. The reversal of 2112040440200 is 20440402112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12714077 + ... + 12879123.

It is an arithmetic number, because the mean of its divisors is an integer number (51708506850).

Almost surely, 22112040440200 is an apocalyptic number.

2112040440200 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 2112040440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482008328800).

2112040440200 is an abundant number, since it is smaller than the sum of its proper divisors (2851976217400).

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

2112040440200 is a wasteful number, since it uses less digits than its factorization.

2112040440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165759 (or 165750 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2112040440200 its reverse (20440402112), we get a palindrome (2132480842312).

The spelling of 2112040440200 in words is "two trillion, one hundred twelve billion, forty million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 587 872 1090 1174 2180 2348 2725 2935 4360 4696 5450 5870 10900 11740 14675 21800 23480 29350 58700 63983 117400 127966 165047 255932 319915 330094 511864 639830 660188 825235 1279660 1320376 1599575 1650470 2559320 3199150 3300940 4126175 6398300 6601880 8252350 12796600 16504700 17990123 33009400 35980246 71960492 89950615 96882589 143920984 179901230 193765178 359802460 387530356 449753075 484412945 719604920 775060712 899506150 968825890 1799012300 1937651780 2422064725 3598024600 3875303560 4844129450 9688258900 10560202201 19376517800 21120404402 42240808804 52801011005 84481617608 105602022010 211204044020 264005055025 422408088040 528010110050 1056020220100 2112040440200