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11012122201220 = 2257535399257
BaseRepresentation
bin1010000000111111010110…
…1000011100110010000100
31102222202012201201022012222
42200033311220130302010
52420410311240414340
635230522112231512
72214412440200000
oct240176550346204
942882181638188
1011012122201220
11356623a996128
12129a28153b598
1361b5919a369a
142a0dbd4c3700
151416b5a178b5
hexa03f5a1cc84

11012122201220 has 144 divisors (see below), whose sum is σ = 26990008859520. Its totient is φ = 3774110156544.

The previous prime is 11012122201181. The next prime is 11012122201229. The reversal of 11012122201220 is 2210222121011.

It is a super-3 number, since 3×110121222012203 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11012122201229) 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, 1189594832 + ... + 1189604088.

It is an arithmetic number, because the mean of its divisors is an integer number (187430617080).

Almost surely, 211012122201220 is an apocalyptic number.

11012122201220 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 11012122201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495004429760).

11012122201220 is an abundant number, since it is smaller than the sum of its proper divisors (15977886658300).

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

11012122201220 is an frugal number, since it uses more digits than its factorization.

11012122201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840 (or 12810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11012122201220 its reverse (2210222121011), we get a palindrome (13222344322231).

The spelling of 11012122201220 in words is "eleven trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 3539 4802 6860 7078 9257 9604 12005 14156 16807 17695 18514 24010 24773 33614 35390 37028 46285 48020 49546 64799 67228 70780 84035 92570 99092 123865 129598 168070 173411 185140 247730 259196 323995 336140 346822 453593 495460 647990 693644 867055 907186 1213877 1295980 1734110 1814372 2267965 2427754 3175151 3468220 4535930 4855508 6069385 6350302 8497139 9071860 12138770 12700604 15875755 16994278 22226057 24277540 31751510 32760523 33988556 42485695 44452114 59479973 63503020 65521046 84971390 88904228 111130285 118959946 131042092 155582399 163802615 169942780 222260570 229323661 237919892 297399865 311164798 327605230 444521140 458647322 594799730 622329596 655210460 777911995 917294644 1146618305 1189599460 1555823990 1605265627 2293236610 3111647980 3210531254 4586473220 6421062508 8026328135 11236859389 16052656270 22473718778 32105312540 44947437556 56184296945 78658015723 112368593890 157316031446 224737187780 314632062892 393290078615 550606110061 786580157230 1101212220122 1573160314460 2202424440244 2753030550305 5506061100610 11012122201220