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112202020220202 = 233114214431012811
BaseRepresentation
bin11001100000110000010001…
…100011101110110100101010
3112201021102000201002010201000
4121200300101203232310222
5104201304214134021302
61034344521351135430
732430220441540503
oct3140602143566452
9481242021063630
10112202020220202
113282967834a550
1210701605674576
134a7b7b355b763
141d9c86cd11baa
15ce89731bd31c
hex660c118eed2a

112202020220202 has 128 divisors (see below), whose sum is σ = 273266724695040. Its totient is φ = 33843248712000.

The previous prime is 112202020220141. The next prime is 112202020220219. The reversal of 112202020220202 is 202022020202211.

112202020220202 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 0 + 20 + 220 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110276377 + ... + 111289187.

It is an arithmetic number, because the mean of its divisors is an integer number (2134896286680).

Almost surely, 2112202020220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202020220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136633362347520).

112202020220202 is an abundant number, since it is smaller than the sum of its proper divisors (161064704474838).

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

112202020220202 is a wasteful number, since it uses less digits than its factorization.

112202020220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013697 (or 1013691 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112202020220202 its reverse (202022020202211), we get a palindrome (314224040422413).

The spelling of 112202020220202 in words is "one hundred twelve trillion, two hundred two billion, twenty million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 421 443 594 842 886 1263 1329 2526 2658 3789 3987 4631 4873 7578 7974 9262 9746 11367 11961 13893 14619 22734 23922 27786 29238 41679 43857 83358 87714 125037 131571 186503 250074 263142 373006 559509 1012811 1119018 1678527 2025622 2051533 3038433 3357054 4103066 5035581 6076866 6154599 9115299 10071162 11140921 12309198 18230598 18463797 22281842 27345897 33422763 36927594 54691794 55391391 66845526 100268289 110782782 200536578 300804867 426393431 448675273 601609734 852786862 897350546 1279180293 1346025819 2558360586 2692051638 3837540879 4038077457 4690327741 4935428003 7675081758 8076154914 9380655482 9870856006 11512622637 12114232371 14070983223 14806284009 23025245274 24228464742 28141966446 29612568018 42212949669 44418852027 84425899338 88837704054 126638849007 133256556081 188892289933 253277698014 266513112162 377784579866 566676869799 1133353739598 1700030609397 2077815189263 3400061218794 4155630378526 5100091828191 6233445567789 10200183656382 12466891135578 18700336703367 37400673406734 56101010110101 112202020220202