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11024203205000 = 235441471144183
BaseRepresentation
bin1010000001101100010110…
…1101110100100110001000
31110000220101200020212212102
42200123011231310212020
52421110032010030000
635240240554132532
72215321014060236
oct240330555644610
943026350225772
1011024203205000
11357037a344077
1212a0693421148
1361c76885a42b
142a1807b89956
15141b714393d5
hexa06c5b74988

11024203205000 has 160 divisors (see below), whose sum is σ = 27022696968960. Its totient is φ = 4210589760000.

The previous prime is 11024203204999. The next prime is 11024203205017. The reversal of 11024203205000 is 50230242011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9062909 + ... + 10207091.

It is an arithmetic number, because the mean of its divisors is an integer number (168891856056).

Almost surely, 211024203205000 is an apocalyptic number.

11024203205000 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 11024203205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511348484480).

11024203205000 is an abundant number, since it is smaller than the sum of its proper divisors (15998493763960).

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

11024203205000 is a wasteful number, since it uses less digits than its factorization.

11024203205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144297 (or 1144278 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11024203205000 its reverse (50230242011), we get a palindrome (11074433447011).

The spelling of 11024203205000 in words is "eleven trillion, twenty-four billion, two hundred three million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 47 50 82 94 100 125 164 188 200 205 235 250 328 376 410 470 500 625 820 940 1000 1025 1175 1250 1640 1880 1927 2050 2350 2500 3854 4100 4700 5000 5125 5875 7708 8200 9400 9635 10250 11750 15416 19270 20500 23500 25625 29375 38540 41000 47000 48175 51250 58750 77080 96350 102500 117500 192700 205000 235000 240875 385400 481750 963500 1144183 1204375 1927000 2288366 2408750 4576732 4817500 5720915 9153464 9635000 11441830 22883660 28604575 45767320 46911503 53776601 57209150 93823006 107553202 114418300 143022875 187646012 215106404 228836600 234557515 268883005 286045750 375292024 430212808 469115030 537766010 572091500 715114375 938230060 1075532020 1144183000 1172787575 1344415025 1430228750 1876460120 2151064040 2204840641 2345575150 2688830050 2860457500 4409681282 4691150300 5377660100 5720915000 5863937875 6722075125 8819362564 9382300600 10755320200 11024203205 11727875750 13444150250 17638725128 22048406410 23455751500 26888300500 29319689375 33610375625 44096812820 46911503000 53776601000 55121016025 58639378750 67220751250 88193625640 110242032050 117278757500 134441502500 220484064100 234557515000 268883005000 275605080125 440968128200 551210160250 1102420320500 1378025400625 2204840641000 2756050801250 5512101602500 11024203205000