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11002320122000 = 245373137550061
BaseRepresentation
bin1010000000011010110101…
…1000011111000010010000
31102221210220121101002100212
42200012231120133002100
52420230222422401000
635222221315503252
72213614514662364
oct240065530370220
942853817332325
1011002320122000
11356206a973a09
1212983a68b7b28
1361a68bcc2ccc
142a072d7612a4
151412e0202c35
hexa01ad61f090

11002320122000 has 160 divisors (see below), whose sum is σ = 27164939484384. Its totient is φ = 4308950016000.

The previous prime is 11002320121993. The next prime is 11002320122021. The reversal of 11002320122000 is 22102320011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4623119220736 + 6379200901264 = 2150144^2 + 2525708^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19726970 + ... + 20277030.

Almost surely, 211002320122000 is an apocalyptic number.

11002320122000 is a gapful number since it is divisible by the number (10) 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 11002320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582469742192).

11002320122000 is an abundant number, since it is smaller than the sum of its proper divisors (16162619362384).

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

11002320122000 is a wasteful number, since it uses less digits than its factorization.

11002320122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550294 (or 550278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11002320122000 its reverse (22102320011), we get a palindrome (11024422442011).

The spelling of 11002320122000 in words is "eleven trillion, two billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 137 146 200 250 274 292 365 400 500 548 584 685 730 1000 1096 1168 1370 1460 1825 2000 2192 2740 2920 3425 3650 5480 5840 6850 7300 9125 10001 10960 13700 14600 17125 18250 20002 27400 29200 34250 36500 40004 50005 54800 68500 73000 80008 100010 137000 146000 160016 200020 250025 274000 400040 500050 550061 800080 1000100 1100122 1250125 2000200 2200244 2500250 2750305 4000400 4400488 5000500 5500610 8800976 10001000 11001220 13751525 20002000 22002440 27503050 40154453 44004880 55006100 68757625 75358357 80308906 110012200 137515250 150716714 160617812 200772265 220024400 275030500 301433428 321235624 376791785 401544530 550061000 602866856 642471248 753583570 803089060 1003861325 1100122000 1205733712 1507167140 1606178120 1883958925 2007722650 3014334280 3212356240 3767917850 4015445300 5019306625 5501160061 6028668560 7535835700 8030890600 9419794625 10038613250 11002320122 15071671400 16061781200 18839589250 20077226500 22004640244 27505800305 30143342800 37679178500 40154453000 44009280488 55011600610 75358357000 80308906000 88018560976 110023201220 137529001525 150716714000 220046402440 275058003050 440092804880 550116006100 687645007625 1100232012200 1375290015250 2200464024400 2750580030500 5501160061000 11002320122000