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11212212211000 = 2353151353321017
BaseRepresentation
bin1010001100101000101111…
…1011010000110100111000
31110200212200100100221220221
42203022023323100310320
52432200102311223000
635502452535425424
72235025033210123
oct243121373206470
943625610327827
1011212212211000
113633088544a79
121311003225274
136343cb849088
142aa9615153ba
151469c6d1b61a
hexa328bed0d38

11212212211000 has 128 divisors (see below), whose sum is σ = 26419061036160. Its totient is φ = 4453710720000.

The previous prime is 11212212210973. The next prime is 11212212211007. The reversal of 11212212211000 is 11221221211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212212211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533472492 + ... + 533493508.

It is an arithmetic number, because the mean of its divisors is an integer number (206398914345).

Almost surely, 211212212211000 is an apocalyptic number.

11212212211000 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 11212212211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209530518080).

11212212211000 is an abundant number, since it is smaller than the sum of its proper divisors (15206848825160).

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

11212212211000 is a wasteful number, since it uses less digits than its factorization.

11212212211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24722 (or 24708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11212212211000 its reverse (11221221211), we get a palindrome (11223433432211).

It can be divided in two parts, 11212 and 212211000, that added together give a palindrome (212222212).

The spelling of 11212212211000 in words is "eleven trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 1000 1208 1510 3020 3533 3775 6040 7066 7550 14132 15100 17665 18875 21017 28264 30200 35330 37750 42034 70660 75500 84068 88325 105085 141320 151000 168136 176650 210170 353300 420340 441625 525425 533483 706600 840680 883250 1050850 1066966 1766500 2101700 2133932 2627125 2667415 3173567 3533000 4203400 4267864 5254250 5334830 6347134 10508500 10669660 12694268 13337075 15867835 21017000 21339320 25388536 26674150 31735670 53348300 63471340 66685375 74253061 79339175 106696600 126942680 133370750 148506122 158678350 266741500 297012244 317356700 371265305 396695875 533483000 594024488 634713400 742530610 793391750 1485061220 1586783500 1856326525 2970122440 3173567000 3712653050 7425306100 9281632625 11212212211 14850612200 18563265250 22424424422 37126530500 44848848844 56061061055 74253061000 89697697688 112122122110 224244244220 280305305275 448488488440 560610610550 1121221221100 1401526526375 2242442442200 2803053052750 5606106105500 11212212211000