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11020021021100 = 22527133557340453
BaseRepresentation
bin1010000001011100110001…
…1100000011100110101100
31110000111121012201221002102
42200113030130003212230
52421023000340133400
635234305555314232
72215112252101250
oct240271434034654
943014535657072
1011020021021100
113569623636443
12129b9068ab978
1361c25027bac0
142a152c570260
151419c91c89d5
hexa05cc7039ac

11020021021100 has 144 divisors (see below), whose sum is σ = 29440293908928. Its totient is φ = 3486664258560.

The previous prime is 11020021021063. The next prime is 11020021021111. The reversal of 11020021021100 is 112012002011.

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, 32198474 + ... + 32538926.

Almost surely, 211020021021100 is an apocalyptic number.

11020021021100 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 11020021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720146954464).

11020021021100 is an abundant number, since it is smaller than the sum of its proper divisors (18420272887828).

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

11020021021100 is a wasteful number, since it uses less digits than its factorization.

11020021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344044 (or 344037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020021021100 its reverse (112012002011), we get a palindrome (11132033023111).

The spelling of 11020021021100 in words is "eleven trillion, twenty billion, twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 3557 4550 7114 9100 14228 17785 24899 35570 46241 49798 71140 88925 92482 99596 124495 177850 184964 231205 248990 323687 340453 355700 462410 497980 622475 647374 680906 924820 1156025 1244950 1294748 1361812 1618435 1702265 2312050 2383171 2489900 3236870 3404530 4425889 4624100 4766342 6473740 6809060 8092175 8511325 8851778 9532684 11915855 16184350 17022650 17703556 22129445 23831710 30981223 32368700 34045300 44258890 47663420 59579275 61962446 88517780 110647225 119158550 123924892 154906115 221294450 238317100 309812230 442588900 619624460 774530575 1210991321 1549061150 2421982642 3098122300 4843965284 6054956605 8476939247 12109913210 15742887173 16953878494 24219826420 30274783025 31485774346 33907756988 42384696235 60549566050 62971548692 78714435865 84769392470 110200210211 121099132100 157428871730 169538784940 211923481175 220400420422 314857743460 393572179325 423846962350 440800840844 551001051055 787144358650 847693924700 1102002102110 1574288717300 2204004204220 2755005255275 5510010510550 11020021021100