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11010220021220 = 22572139358122571
BaseRepresentation
bin1010000000111000010001…
…0000001101010111100100
31102222120022011102112210212
42200032010100031113210
52420342412311134340
635230005242034552
72214314342010500
oct240160420152744
942876264375725
1011010220021220
113565454191142
121299a304a8a58
1361b34a8887a4
142a0c7ca0d300
15141603a28a65
hexa038440d5e4

11010220021220 has 144 divisors (see below), whose sum is σ = 27098659304640. Its totient is φ = 3746562220800.

The previous prime is 11010220021193. The next prime is 11010220021231. The reversal of 11010220021220 is 2212002201011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11010220021195 and 11010220021204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487792535 + ... + 487815105.

It is an arithmetic number, because the mean of its divisors is an integer number (188185134060).

Almost surely, 211010220021220 is an apocalyptic number.

11010220021220 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 11010220021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549329652320).

11010220021220 is an abundant number, since it is smaller than the sum of its proper divisors (16088439283420).

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

11010220021220 is a wasteful number, since it uses less digits than its factorization.

11010220021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314 (or 26305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11010220021220 its reverse (2212002201011), we get a palindrome (13222222222231).

The spelling of 11010220021220 in words is "eleven trillion, ten billion, two hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 139 140 196 245 278 490 556 695 973 980 1390 1946 2780 3581 3892 4865 6811 7162 9730 13622 14324 17905 19460 22571 25067 27244 34055 35810 45142 50134 68110 71620 90284 100268 112855 125335 136220 157997 175469 225710 250670 315994 350938 451420 497759 501340 631988 701876 789985 877345 995518 1105979 1579970 1754690 1991036 2211958 2488795 3137369 3159940 3484313 3509380 4423916 4977590 5529895 6274738 6968626 9955180 11059790 12549476 13937252 15686845 17421565 21961583 22119580 24390191 31373690 34843130 43923166 48780382 62747380 69686260 80826751 87846332 97560764 109807915 121950955 153731081 161653502 219615830 243901910 307462162 323307004 404133755 439231660 487803820 565787257 614924324 768655405 808267510 1131574514 1537310810 1616535020 2263149028 2828936285 3074621620 3960510799 5657872570 7921021598 11234918389 11315745140 15842043196 19802553995 22469836778 39605107990 44939673556 56174591945 78644428723 79210215980 112349183890 157288857446 224698367780 314577714892 393222143615 550511001061 786444287230 1101022002122 1572888574460 2202044004244 2752555005305 5505110010610 11010220021220