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11002121022000 = 243535501333337
BaseRepresentation
bin1010000000011010000110…
…0000111110101000110000
31102221210101201201202111210
42200012201200332220300
52420224320440201000
635222145444240120
72213606546444043
oct240064140765060
942853351652453
1011002121022000
113561a78546159
1212983500a0040
1361a659992564
142a0711134c5a
151412cc9c5350
hexa01a183ea30

11002121022000 has 160 divisors (see below), whose sum is σ = 35477392676544. Its totient is φ = 2933356800000.

The previous prime is 11002121021989. The next prime is 11002121022037. The reversal of 11002121022000 is 22012120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32839332 + ... + 33172668.

Almost surely, 211002121022000 is an apocalyptic number.

11002121022000 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 11002121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738696338272).

11002121022000 is an abundant number, since it is smaller than the sum of its proper divisors (24475271654544).

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

11002121022000 is a wasteful number, since it uses less digits than its factorization.

11002121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338864 (or 338848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002121022000 its reverse (22012120011), we get a palindrome (11024133142011).

It can be divided in two parts, 1100212 and 1022000, that added together give a palindrome (2122212).

The spelling of 11002121022000 in words is "eleven trillion, two billion, one hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 5501 6000 11002 16503 22004 27505 33006 44008 55010 66012 82515 88016 110020 132024 137525 165030 220040 264048 275050 330060 333337 412575 440080 550100 660120 666674 687625 825150 1000011 1100200 1320240 1333348 1375250 1650300 1666685 2000022 2062875 2200400 2666696 2750500 3300600 3333370 4000044 4125750 5000055 5333392 5501000 6601200 6666740 8000088 8251500 8333425 10000110 11002000 13333480 16000176 16503000 16666850 20000220 25000275 26666960 33006000 33333700 40000440 41667125 50000550 66667400 80000880 83334250 100001100 125001375 133334800 166668500 200002200 250002750 333337000 400004400 500005500 666674000 1000011000 1833686837 2000022000 3667373674 5501060511 7334747348 9168434185 11002121022 14669494696 18336868370 22004242044 27505302555 29338989392 36673736740 44008484088 45842170925 55010605110 73347473480 88016968176 91684341850 110021210220 137526512775 146694946960 183368683700 220042420440 229210854625 275053025550 366737367400 440084840880 458421709250 550106051100 687632563875 733474734800 916843418500 1100212102200 1375265127750 1833686837000 2200424204400 2750530255500 3667373674000 5501060511000 11002121022000