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11012200020120 = 23351332712158087
BaseRepresentation
bin1010000000111111101001…
…0001010011100010011000
31102222202102011010220200110
42200033322101103202120
52420410441201120440
635230533532204320
72214414403510155
oct240177221234230
942882364126613
1011012200020120
11356627a907672
12129a2a36096a0
1361b5a4b4c080
142a0dc997d22c
151416bc78a080
hexa03fa453898

11012200020120 has 128 divisors (see below), whose sum is σ = 35588770237440. Its totient is φ = 2709865428480.

The previous prime is 11012200020119. The next prime is 11012200020167. The reversal of 11012200020120 is 2102000221011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012200020096 and 11012200020105.

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 31 ways as a sum of consecutive naturals, for example, 4023717 + ... + 6181803.

It is an arithmetic number, because the mean of its divisors is an integer number (278037267480).

Almost surely, 211012200020120 is an apocalyptic number.

11012200020120 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 11012200020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794385118720).

11012200020120 is an abundant number, since it is smaller than the sum of its proper divisors (24576570217320).

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

11012200020120 is a wasteful number, since it uses less digits than its factorization.

11012200020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161385 (or 2161381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012200020120 its reverse (2102000221011), we get a palindrome (13114200241131).

The spelling of 11012200020120 in words is "eleven trillion, twelve billion, two hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3271 6542 9813 13084 16355 19626 26168 32710 39252 42523 49065 65420 78504 85046 98130 127569 130840 170092 196260 212615 255138 340184 392520 425230 510276 637845 850460 1020552 1275690 1700920 2158087 2551380 4316174 5102760 6474261 8632348 10790435 12948522 17264696 21580870 25897044 28055131 32371305 43161740 51794088 56110262 64742610 84165393 86323480 112220524 129485220 140275655 168330786 224441048 258970440 280551310 336661572 420826965 561102620 673323144 841653930 1122205240 1683307860 3366615720 7059102577 14118205154 21177307731 28236410308 35295512885 42354615462 56472820616 70591025770 84709230924 91768333501 105886538655 141182051540 169418461848 183536667002 211773077310 275305000503 282364103080 367073334004 423546154620 458841667505 550610001006 734146668008 847092309240 917683335010 1101220002012 1376525002515 1835366670020 2202440004024 2753050005030 3670733340040 5506100010060 11012200020120