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11102112201222 = 2337713171304957
BaseRepresentation
bin1010000110001110100101…
…1101000011101000000110
31110022100111021202221221000
42201203221131003220012
52423344111210414342
635340123454234130
72224046455444020
oct241435135035006
943270437687830
1011102112201222
1135a04199a7059
1212b37b6ab5946
13626c037040b3
142a54b8d3b010
15143bd106b44c
hexa18e9743a06

11102112201222 has 128 divisors (see below), whose sum is σ = 28683185633280. Its totient is φ = 3117487685760.

The previous prime is 11102112201221. The next prime is 11102112201233. The reversal of 11102112201222 is 22210221120111.

11102112201222 is a `hidden beast` number, since 1 + 1 + 10 + 211 + 220 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102112201195 and 11102112201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102112201221) 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 63 ways as a sum of consecutive naturals, for example, 7855168 + ... + 9160124.

It is an arithmetic number, because the mean of its divisors is an integer number (224087387760).

Almost surely, 211102112201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102112201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341592816640).

11102112201222 is an abundant number, since it is smaller than the sum of its proper divisors (17581073432058).

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

11102112201222 is a wasteful number, since it uses less digits than its factorization.

11102112201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305363 (or 1305357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102112201222 its reverse (22210221120111), we get a palindrome (33312333321333).

The spelling of 11102112201222 in words is "eleven trillion, one hundred two billion, one hundred twelve million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 317 378 426 497 634 639 951 994 1278 1491 1902 1917 2219 2853 2982 3834 4438 4473 5706 6657 8559 8946 13314 13419 17118 19971 22507 26838 39942 45014 59913 67521 119826 135042 157549 202563 315098 405126 472647 607689 945294 1215378 1304957 1417941 2609914 2835882 3914871 4253823 7829742 8507646 9134699 11744613 18269398 23489226 27404097 35233839 54808194 70467678 82212291 92651947 164424582 185303894 246636873 277955841 413671369 493273746 555911682 648563629 827342738 833867523 1241014107 1297127258 1667735046 1945690887 2482028214 2501602569 2895699583 3723042321 3891381774 5003205138 5791399166 5837072661 7446084642 8687098749 11169126963 11674145322 17374197498 17511217983 22338253926 26061296247 29370667199 35022435966 52122592494 58741334398 78183888741 88112001597 156367777482 176224003194 205594670393 264336004791 411189340786 528672009582 616784011179 793008014373 1233568022358 1586016028746 1850352033537 3700704067074 5551056100611 11102112201222