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2122210010000 = 2454732907137
BaseRepresentation
bin11110111000011101100…
…100101110001110010000
321111212210110112121020202
4132320131210232032100
5234232241230310000
64302532501354332
7306216225310223
oct36703544561620
97455713477222
102122210010000
1174902a252153
122a336ba089a8
1312517b576362
1474a0351b5ba
153a30becadd5
hex1ee1d92e390

2122210010000 has 100 divisors (see below), whose sum is σ = 5208469140732. Its totient is φ = 837255168000.

The previous prime is 2122210009999. The next prime is 2122210010017. The reversal of 2122210010000 is 100122212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1600741161616 + 521468848384 = 1265204^2 + 722128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 723569 + ... + 2183568.

Almost surely, 22122210010000 is an apocalyptic number.

2122210010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122210010000 is an abundant number, since it is smaller than the sum of its proper divisors (3086259130732).

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

2122210010000 is an equidigital number, since it uses as much as digits as its factorization.

2122210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907238 (or 2907217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2122210010000 its reverse (100122212), we get a palindrome (2122310132212).

The spelling of 2122210010000 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3650 5000 5840 7300 9125 10000 14600 18250 29200 36500 45625 73000 91250 146000 182500 365000 730000 2907137 5814274 11628548 14535685 23257096 29071370 46514192 58142740 72678425 116285480 145356850 212221001 232570960 290713700 363392125 424442002 581427400 726784250 848884004 1061105005 1162854800 1453568500 1697768008 1816960625 2122210010 2907137000 3395536016 3633921250 4244420020 5305525025 5814274000 7267842500 8488840040 10611050050 14535685000 16977680080 21222100100 26527625125 29071370000 42444200200 53055250250 84888400400 106110500500 132638125625 212221001000 265276251250 424442002000 530552502500 1061105005000 2122210010000