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11202220120122 = 2331929382198533
BaseRepresentation
bin1010001100000011100001…
…0110011101100000111010
31110122220212222111011002000
42203000320112131200322
52432014121322320442
635454121234321430
72234222312635623
oct243007026354072
943586788434060
1011202220120122
113629920242229
12130b094a29276
1363349869a875
142aa294450a4a
151465de9c1d4c
hexa303859d83a

11202220120122 has 128 divisors (see below), whose sum is σ = 27114980256000. Its totient is φ = 3414630401280.

The previous prime is 11202220120099. The next prime is 11202220120127. The reversal of 11202220120122 is 22102102220211.

It is a happy number.

11202220120122 is a `hidden beast` number, since 1 + 1 + 202 + 220 + 120 + 122 = 666.

It is a super-2 number, since 2×112022201201222 (a number of 27 digits) contains 22 as substring.

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 = 11202220120095 and 11202220120104.

It is not an unprimeable number, because it can be changed into a prime (11202220120127) 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, 113640768 + ... + 113739300.

It is an arithmetic number, because the mean of its divisors is an integer number (211835783250).

Almost surely, 211202220120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202220120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557490128000).

11202220120122 is an abundant number, since it is smaller than the sum of its proper divisors (15912760135878).

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

11202220120122 is a wasteful number, since it uses less digits than its factorization.

11202220120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102413 (or 102407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11202220120122 its reverse (22102102220211), we get a palindrome (33304322340333).

The spelling of 11202220120122 in words is "eleven trillion, two hundred two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1566 1653 3306 3821 4959 7642 9918 11463 14877 22926 29754 34389 68778 72599 98533 103167 110809 145198 197066 206334 217797 221618 295599 332427 435594 591198 653391 664854 886797 997281 1306782 1773594 1872127 1960173 1994562 2105371 2660391 2857457 2991843 3744254 3920346 4210742 5320782 5616381 5714914 5983686 6316113 8572371 11232762 12632226 16849143 17144742 18948339 25717113 33698286 37896678 50547429 51434226 54291683 56845017 77151339 101094858 108583366 113690034 154302678 162875049 325750098 376494593 488625147 752989186 977250294 1129483779 1465875441 2258967558 2931750882 3388451337 6776902674 7153397267 10165354011 10918343197 14306794534 20330708022 21460191801 21836686394 32755029591 42920383602 64380575403 65510059182 98265088773 128761150806 193141726209 196530177546 207448520743 294795266319 386283452418 414897041486 589590532638 622345562229 1244691124458 1867036686687 3734073373374 5601110060061 11202220120122