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11002100222000 = 245317584355381
BaseRepresentation
bin1010000000011010000001…
…0001101000100000110000
31102221210100021121000021102
42200012200101220200300
52420224300124101000
635222143422343532
72213606204603456
oct240064021504060
942853307530242
1011002100222000
113561a67829878
12129834512aba8
1361a65558bc74
142a070c47c9d6
151412cac673d5
hexa01a0468830

11002100222000 has 160 divisors (see below), whose sum is σ = 28173294811584. Its totient is φ = 4141183488000.

The previous prime is 11002100221997. The next prime is 11002100222107. The reversal of 11002100222000 is 22200120011.

It is a happy number.

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, 198634310 + ... + 198689690.

Almost surely, 211002100222000 is an apocalyptic number.

11002100222000 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 11002100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086647405792).

11002100222000 is an abundant number, since it is smaller than the sum of its proper divisors (17171194589584).

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

11002100222000 is a wasteful number, since it uses less digits than its factorization.

11002100222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61264 (or 61248 counting only the distinct ones).

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

Adding to 11002100222000 its reverse (22200120011), we get a palindrome (11024300342011).

The spelling of 11002100222000 in words is "eleven trillion, two billion, one hundred million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 5843 6800 8500 11686 17000 23372 29215 34000 46744 55381 58430 93488 99331 110762 116860 146075 198662 221524 233720 276905 292150 397324 443048 467440 496655 553810 584300 730375 794648 886096 941477 993310 1107620 1168600 1384525 1460750 1589296 1882954 1986620 2215240 2337200 2483275 2769050 2921500 3765908 3973240 4430480 4707385 4966550 5538100 5843000 6922625 7531816 7946480 9414770 9933100 11076200 11686000 12416375 13845250 15063632 18829540 19866200 22152400 23536925 24832750 27690500 37659080 39732400 47073850 49665500 55381000 75318160 94147700 99331000 110762000 117684625 188295400 198662000 235369250 323591183 376590800 470738500 647182366 941477000 1294364732 1617955915 1882954000 2588729464 3235911830 5177458928 5501050111 6471823660 8089779575 11002100222 12943647320 16179559150 22004200444 25887294640 27505250555 32359118300 40448897875 44008400888 55010501110 64718236600 80897795750 88016801776 110021002220 129436473200 137526252775 161795591500 220042004440 275052505550 323591183000 440084008880 550105011100 647182366000 687631263875 1100210022200 1375262527750 2200420044400 2750525055500 5501050111000 11002100222000