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11221022000020 = 2257223727684769
BaseRepresentation
bin1010001101001001100100…
…0001111100001110010100
31110201201102022112121112011
42203102121001330032110
52432321123113000040
635510511044034004
72235456246164200
oct243223101741624
943651368477464
1011221022000020
113636899429948
121312861692904
136351a3a8b8a1
142ab159575b00
15146d404743ea
hexa349907c394

11221022000020 has 144 divisors (see below), whose sum is σ = 28642537647360. Its totient is φ = 3674870470656.

The previous prime is 11221021999969. The next prime is 11221022000029. The reversal of 11221022000020 is 2000022012211.

It is a happy number.

It is a super-2 number, since 2×112210220000202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221022000029) by changing a digit.

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, 16044196 + ... + 16728964.

It is an arithmetic number, because the mean of its divisors is an integer number (198906511440).

Almost surely, 211221022000020 is an apocalyptic number.

11221022000020 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 11221022000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321268823680).

11221022000020 is an abundant number, since it is smaller than the sum of its proper divisors (17421515647340).

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

11221022000020 is a wasteful number, since it uses less digits than its factorization.

11221022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685542 (or 685533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11221022000020 its reverse (2000022012211), we get a palindrome (13221044012231).

The spelling of 11221022000020 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 727 805 980 1127 1454 1610 2254 2908 3220 3635 4508 5089 5635 7270 10178 11270 14540 16721 20356 22540 25445 33442 35623 50890 66884 71246 83605 101780 117047 142492 167210 178115 234094 334420 356230 468188 585235 684769 712460 819329 1170470 1369538 1638658 2340940 2739076 3277316 3423845 4096645 4793383 6847690 8193290 9586766 13695380 15749687 16386580 19173532 23966915 31499374 33553681 47933830 62998748 67107362 78748435 95867660 110247809 134214724 157496870 167768405 220495618 314993740 335536810 440991236 497827063 551239045 671073620 771734663 995654126 1102478090 1543469326 1991308252 2204956180 2489135315 3086938652 3484789441 3858673315 4978270630 6969578882 7717346630 9956541260 11450022449 13939157764 15434693260 17423947205 22900044898 24393526087 34847894410 45800089796 48787052174 57250112245 69695788820 80150157143 97574104348 114500224490 121967630435 160300314286 229000448980 243935260870 320600628572 400750785715 487870521740 561051100001 801501571430 1122102200002 1603003142860 2244204400004 2805255500005 5610511000010 11221022000020