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11221011111112 = 231141101120125639
BaseRepresentation
bin1010001101001001100001…
…1000011001110011001000
31110201201101120001101202021
42203102120120121303020
52432321112321023422
635510510014414224
72235456054503125
oct243223030316310
943651346041667
1011221011111112
113636893271950
121312859b01374
136351a174854a
142ab157d3d74c
15146d3e522dc7
hexa3498619cc8

11221011111112 has 128 divisors (see below), whose sum is σ = 23765363193600. Its totient is φ = 4922496000000.

The previous prime is 11221011111083. The next prime is 11221011111119. The reversal of 11221011111112 is 21111111012211.

It is a super-2 number, since 2×112210111111122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221011111119) 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, 437641189 + ... + 437666827.

It is an arithmetic number, because the mean of its divisors is an integer number (185666899950).

Almost surely, 211221011111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882681596800).

11221011111112 is an abundant number, since it is smaller than the sum of its proper divisors (12544352082488).

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

11221011111112 is a wasteful number, since it uses less digits than its factorization.

11221011111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26999 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11221011111112 its reverse (21111111012211), we get a palindrome (32332122123323).

The spelling of 11221011111112 in words is "eleven trillion, two hundred twenty-one billion, eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 101 164 202 328 404 451 808 902 1111 1201 1804 2222 2402 3608 4141 4444 4804 8282 8888 9608 13211 16564 25639 26422 33128 45551 49241 51278 52844 91102 98482 102556 105688 121301 182204 196964 205112 242602 282029 364408 393928 485204 541651 564058 970408 1051199 1083302 1128116 1334311 2102398 2166604 2256232 2589539 2668622 4204796 4333208 4973341 5179078 5337244 8409592 9946682 10358156 10674488 11563189 19893364 20716312 23126378 28484929 30792439 39786728 46252756 54706751 56969858 61584878 92505512 106171099 109413502 113939716 123169756 212342198 218827004 227879432 246339512 338716829 424684396 437654008 677433658 849368792 1167882089 1262489999 1354867316 2335764178 2524979998 2709734632 3110036339 4671528356 5049959996 6220072678 9343056712 10099919992 12440145356 13887389989 24880290712 27774779978 34210399729 55549559956 68420799458 111099119912 127511489899 136841598916 255022979798 273683197832 510045959596 1020091919192 1402626388889 2805252777778 5610505555556 11221011111112