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11100100001220 = 2234511875772463
BaseRepresentation
bin1010000110000111000110…
…0001000111110111000100
31110022011022001110121110000
42201201301201013313010
52423331001100014340
635335152054001300
72223645553150506
oct241416141076704
943264261417400
1011100100001220
11359a58708744a
1212b3335046230
136269728779c9
142a53679c7d76
15143b14598d30
hexa1871847dc4

11100100001220 has 120 divisors (see below), whose sum is σ = 34850766513024. Its totient is φ = 2957532450624.

The previous prime is 11100100001191. The next prime is 11100100001239. The reversal of 11100100001220 is 2210000100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 39 ways as a sum of consecutive naturals, for example, 963292 + ... + 4809171.

Almost surely, 211100100001220 is an apocalyptic number.

11100100001220 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 11100100001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425383256512).

11100100001220 is an abundant number, since it is smaller than the sum of its proper divisors (23750666511804).

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

11100100001220 is a wasteful number, since it uses less digits than its factorization.

11100100001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773671 (or 5773660 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100100001220 its reverse (2210000100111), we get a palindrome (13310100101331).

The spelling of 11100100001220 in words is "eleven trillion, one hundred billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1187 1620 2374 3561 4748 5935 7122 10683 11870 14244 17805 21366 23740 32049 35610 42732 53415 64098 71220 96147 106830 128196 160245 192294 213660 320490 384588 480735 640980 961470 1922940 5772463 11544926 17317389 23089852 28862315 34634778 51952167 57724630 69269556 86586945 103904334 115449260 155856501 173173890 207808668 259760835 311713002 346347780 467569503 519521670 623426004 779282505 935139006 1039043340 1558565010 1870278012 2337847515 3117130020 4675695030 6851913581 9351390060 13703827162 20555740743 27407654324 34259567905 41111481486 61667222229 68519135810 82222962972 102778703715 123334444458 137038271620 185001666687 205557407430 246668888916 308336111145 370003333374 411114814860 555005000061 616672222290 740006666748 925008333435 1110010000122 1233344444580 1850016666870 2220020000244 2775025000305 3700033333740 5550050000610 11100100001220