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2100001210000 = 2454621133811
BaseRepresentation
bin11110100011110001110…
…100110111111010010000
321102202110200202200000121
4132203301310313322100
5233401300302210000
64244421030000024
7304501662523201
oct36436164677220
97382420680017
102100001210000
1173a672a32a91
1229abb21a6014
1312304c3a8795
14738d7b475a8
153995c3a5b1a
hex1e8f1d37e90

2100001210000 has 100 divisors (see below), whose sum is σ = 5085281926384. Its totient is φ = 839840400000.

The previous prime is 2100001209953. The next prime is 2100001210007. The reversal of 2100001210000 is 121000012.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2100001210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62093095 + ... + 62126905.

Almost surely, 22100001210000 is an apocalyptic number.

2100001210000 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 2100001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542640963192).

2100001210000 is an abundant number, since it is smaller than the sum of its proper divisors (2985280716384).

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

2100001210000 is an equidigital number, since it uses as much as digits as its factorization.

2100001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40050 (or 40029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2100001210000 its reverse (121000012), we get a palindrome (2100122210012).

The spelling of 2100001210000 in words is "two trillion, one hundred billion, one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6211 10000 12422 24844 31055 33811 49688 62110 67622 99376 124220 135244 155275 169055 248440 270488 310550 338110 496880 540976 621100 676220 776375 845275 1242200 1352440 1552750 1690550 2484400 2704880 3105500 3381100 3881875 4226375 6211000 6762200 7763750 8452750 12422000 13524400 15527500 16905500 21131875 31055000 33811000 42263750 62110000 67622000 84527500 169055000 210000121 338110000 420000242 840000484 1050000605 1680000968 2100001210 3360001936 4200002420 5250003025 8400004840 10500006050 16800009680 21000012100 26250015125 42000024200 52500030250 84000048400 105000060500 131250075625 210000121000 262500151250 420000242000 525000302500 1050000605000 2100001210000