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11101001001012 = 223213173629921767
BaseRepresentation
bin1010000110001010011100…
…1110001010100000110100
31110022020121211212010210200
42201202213032022200310
52423334322224013022
635335421321320500
72224010103422166
oct241424716124064
943266554763720
1011101001001012
11359a9a973197a
1212b3546936130
13626a87431490
142a5411524936
15143b68721bac
hexa18a738a834

11101001001012 has 144 divisors (see below), whose sum is σ = 30400291958400. Its totient is φ = 3395253613824.

The previous prime is 11101001001007. The next prime is 11101001001031. The reversal of 11101001001012 is 21010010010111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101001000985 and 11101001001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509981353 + ... + 510003119.

It is an arithmetic number, because the mean of its divisors is an integer number (211113138600).

Almost surely, 211101001001012 is an apocalyptic number.

11101001001012 is a gapful number since it is divisible by the number (12) 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 11101001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200145979200).

11101001001012 is an abundant number, since it is smaller than the sum of its proper divisors (19299290957388).

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

11101001001012 is a wasteful number, since it uses less digits than its factorization.

11101001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28262 (or 28257 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101001001012 its reverse (21010010010111), we get a palindrome (32111011011123).

Subtracting 11101001001012 from its reverse (21010010010111), we obtain a palindrome (9909009009099).

It can be divided in two parts, 1110100 and 1001012, that added together give a palindrome (2111112).

The spelling of 11101001001012 in words is "eleven trillion, one hundred one billion, one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6299 6747 8996 12598 13494 18897 20241 21767 25196 26988 37794 40482 43534 56691 65301 75588 80964 81887 87068 113382 130602 163774 195903 226764 245661 261204 282971 327548 391806 491322 565942 736983 783612 848913 982644 1089727 1131884 1473966 1697826 2179454 2546739 2947932 3269181 3395652 3765691 4358908 5093478 6538362 7531382 9807543 10186956 11297073 13076724 14166451 15062764 19615086 22594146 28332902 33891219 39230172 42499353 45188292 48953983 56665804 67782438 84998706 97907966 127498059 135564876 137110333 146861949 169997412 195815932 254996118 274220666 293723898 411330999 440585847 509992236 548441332 587447796 822661998 881171694 1233992997 1645323996 1762343388 1782434329 2467985994 3564868658 4935971988 5347302987 7129737316 10694605974 16041908961 21389211948 23720087609 32083817922 47440175218 64167635844 71160262827 94880350436 142320525654 213480788481 284641051308 308361138917 426961576962 616722277834 853923153924 925083416751 1233444555668 1850166833502 2775250250253 3700333667004 5550500500506 11101001001012