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11201222000020 = 225131811483160499
BaseRepresentation
bin1010001011111111110011…
…0110111011110110010100
31110122211022102100101200211
42202333330312323312110
52432010100313000040
635453434221215204
72234155503024523
oct242777466736624
943584272311624
1011201222000020
113629458892888
12130aa56701504
1363336996b260
142aa1dba724ba
151465820628ea
hexa2ffcdbbd94

11201222000020 has 96 divisors (see below), whose sum is σ = 25489284912000. Its totient is φ = 4110186862080.

The previous prime is 11201221999993. The next prime is 11201222000051. The reversal of 11201222000020 is 2000022210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69709731 + ... + 69870229.

It is an arithmetic number, because the mean of its divisors is an integer number (265513384500).

Almost surely, 211201222000020 is an apocalyptic number.

11201222000020 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 11201222000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744642456000).

11201222000020 is an abundant number, since it is smaller than the sum of its proper divisors (14288062911980).

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

11201222000020 is a wasteful number, since it uses less digits than its factorization.

11201222000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162185 (or 162183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11201222000020 its reverse (2000022210211), we get a palindrome (13201244210231).

The spelling of 11201222000020 in words is "eleven trillion, two hundred one billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1483 1810 2353 2966 3620 4706 5932 7415 9412 11765 14830 19279 23530 29660 38558 47060 77116 96395 160499 192790 268423 320998 385580 536846 641996 802495 1073692 1342115 1604990 2086487 2684230 3209980 3489499 4172974 5368460 6978998 8345948 10432435 13957996 17447495 20864870 29050319 34894990 41729740 58100638 69789980 116201276 145251595 238020017 290503190 377654147 476040034 581006380 755308294 952080068 1190100085 1510616588 1888270735 2380200170 3094260221 3776541470 4760400340 6188520442 7553082940 12377040884 15471301105 30942602210 43081623077 61885204420 86163246154 172326492308 215408115385 430816230770 560061100001 861632461540 1120122200002 2240244400004 2800305500005 5600611000010 11201222000020