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11001101011220 = 2251927966129179
BaseRepresentation
bin1010000000010110010010…
…1101111100100100010100
31102221200202122101211202202
42200011210231330210110
52420220223324324340
635221500330024032
72213542352500505
oct240054455744424
942850678354682
1011001101011220
1135615a47a4a41
121298106578018
1361a52656a098
142a0655898bac
1514126d18ec15
hexa0164b7c914

11001101011220 has 144 divisors (see below), whose sum is σ = 24729055545600. Its totient is φ = 4109700291840.

The previous prime is 11001101011213. The next prime is 11001101011223. The reversal of 11001101011220 is 2211010110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001101011223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377006591 + ... + 377035769.

It is an arithmetic number, because the mean of its divisors is an integer number (171729552400).

Almost surely, 211001101011220 is an apocalyptic number.

11001101011220 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 11001101011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364527772800).

11001101011220 is an abundant number, since it is smaller than the sum of its proper divisors (13727954534380).

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

11001101011220 is a wasteful number, since it uses less digits than its factorization.

11001101011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29966 (or 29945 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001101011220 its reverse (2211010110011), we get a palindrome (13212111121231).

The spelling of 11001101011220 in words is "eleven trillion, one billion, one hundred one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 361 380 395 661 722 790 1322 1444 1501 1580 1805 2644 3002 3305 3610 6004 6610 7220 7505 12559 13220 15010 25118 28519 29179 30020 50236 52219 57038 58358 62795 104438 114076 116716 125590 142595 145895 208876 238621 251180 261095 285190 291790 477242 522190 554401 570380 583580 954484 992161 1044380 1108802 1193105 1984322 2217604 2305141 2386210 2772005 3968644 4610282 4772420 4960805 5544010 9220564 9921610 10533619 11088020 11525705 18851059 19287319 19843220 21067238 23051410 37702118 38574638 42134476 43797679 46102820 52668095 75404236 77149276 87595358 94255295 96436595 105336190 175190716 188510590 192873190 210672380 218988395 366459061 377021180 385746380 437976790 732918122 832155901 875953580 1465836244 1523698201 1664311802 1832295305 3047396402 3328623604 3664590610 4160779505 6094792804 6962722159 7329181220 7618491005 8321559010 13925444318 15236982010 16643118020 27850888636 28950265819 30473964020 34813610795 57900531638 69627221590 115801063276 139254443180 144751329095 289502658190 550055050561 579005316380 1100110101122 2200220202244 2750275252805 5500550505610 11001101011220