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11020101000020 = 225741972204047
BaseRepresentation
bin1010000001011101000100…
…1101001001101101010100
31110000111210210020021112122
42200113101031021231110
52421023131324000040
635234321533435112
72215114242646040
oct240272115115524
943014723207478
1011020101000020
1135696647a2822
12129b92963ba98
1361c263a026c8
142a153902d020
151419d12261b5
hexa05d1349b54

11020101000020 has 144 divisors (see below), whose sum is σ = 27375647749632. Its totient is φ = 3648146595840.

The previous prime is 11020100999969. The next prime is 11020101000031. The reversal of 11020101000020 is 2000010102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020100999971 and 11020101000007.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 53905637 + ... + 54109683.

It is an arithmetic number, because the mean of its divisors is an integer number (190108664928).

Almost surely, 211020101000020 is an apocalyptic number.

11020101000020 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 11020101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687823874816).

11020101000020 is an abundant number, since it is smaller than the sum of its proper divisors (16355546749612).

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

11020101000020 is a wasteful number, since it uses less digits than its factorization.

11020101000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204298 (or 204199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11020101000020 its reverse (2000010102011), we get a palindrome (13020111102031).

The spelling of 11020101000020 in words is "eleven trillion, twenty billion, one hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 97 140 164 194 205 287 388 410 485 574 679 820 970 1148 1358 1435 1940 2716 2870 3395 3977 5740 6790 7954 9409 13580 15908 18818 19885 27839 37636 39770 47045 55678 65863 79540 94090 111356 131726 139195 188180 204047 263452 278390 329315 385769 408094 556780 658630 771538 816188 1020235 1317260 1428329 1543076 1928845 2040470 2700383 2856658 3857690 4080940 5400766 5713316 7141645 7715380 8365927 10801532 13501915 14283290 16731854 19792559 27003830 28566580 33463708 39585118 41829635 54007660 58561489 79170236 83659270 98962795 117122978 138547913 167318540 197925590 234245956 277095826 292807445 395851180 554191652 585614890 692739565 811494919 1171229780 1385479130 1622989838 1919878223 2770958260 3245979676 3839756446 4057474595 5680464433 7679512892 8114949190 9599391115 11360928866 13439147561 16229898380 19198782230 22721857732 26878295122 28402322165 38397564460 53756590244 56804644330 67195737805 78715007143 113609288660 134391475610 157430014286 268782951220 314860028572 393575035715 551005050001 787150071430 1102010100002 1574300142860 2204020200004 2755025250005 5510050500010 11020101000020