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11220011001000 = 233353415555963
BaseRepresentation
bin1010001101000101110011…
…0001010010010010101000
31110201121210212011112121000
42203101130301102102220
52432312040304013000
635510222450515000
72235422221633164
oct243213461222250
943647725145530
1011220011001000
11363641a78336a
12131261ab95a60
136350724a0209
142ab0a11a3ca4
15146cd181e000
hexa345cc524a8

11220011001000 has 128 divisors (see below), whose sum is σ = 38896038230400. Its totient is φ = 2992002926400.

The previous prime is 11220011000999. The next prime is 11220011001037. The reversal of 11220011001000 is 10011002211.

It is a happy number.

It is a super-2 number, since 2×112200110010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 207750982 + ... + 207804981.

It is an arithmetic number, because the mean of its divisors is an integer number (303875298675).

Almost surely, 211220011001000 is an apocalyptic number.

11220011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220011001000 is an abundant number, since it is smaller than the sum of its proper divisors (27676027229400).

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

11220011001000 is a wasteful number, since it uses less digits than its factorization.

11220011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415555993 (or 415555973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11220011001000 its reverse (10011002211), we get a palindrome (11230022003211).

The spelling of 11220011001000 in words is "eleven trillion, two hundred twenty billion, eleven million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 415555963 831111926 1246667889 1662223852 2077779815 2493335778 3324447704 3740003667 4155559630 4986671556 6233339445 7480007334 8311119260 9973343112 10388899075 11220011001 12466678890 14960014668 16622238520 18700018335 20777798150 22440022002 24933357780 29920029336 31166697225 37400036670 41555596300 44880044004 49866715560 51944495375 56100055005 62333394450 74800073340 83111192600 89760088008 93500091675 103888990750 112200110010 124666788900 149600146680 155833486125 187000183350 207777981500 224400220020 249333577800 280500275025 311666972250 374000366700 415555963000 448800440040 467500458375 561000550050 623333944500 748000733400 935000916750 1122001100100 1246667889000 1402501375125 1870001833500 2244002200200 2805002750250 3740003667000 5610005500500 11220011001000