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11112212111 = 72111319223191
BaseRepresentation
bin10100101100101011…
…01110011010001111
31001200102120212022112
422112111232122033
5140224211241421
65034353134235
7542241146600
oct122625563217
931612525275
1011112212111
114792610480
1221a155a37b
131081255850
14775b5dda7
1545085745b
hex29656e68f

11112212111 has 144 divisors (see below), whose sum is σ = 16812085248. Its totient is φ = 7204982400.

The previous prime is 11112212101. The next prime is 11112212123. The reversal of 11112212111 is 11121221111.

It is not a de Polignac number, because 11112212111 - 26 = 11112212047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58179026 + ... + 58179216.

It is an arithmetic number, because the mean of its divisors is an integer number (116750592).

Almost surely, 211112212111 is an apocalyptic number.

11112212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112212111 is a deficient number, since it is larger than the sum of its proper divisors (5699873137).

11112212111 is a wasteful number, since it uses less digits than its factorization.

11112212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its digits is 8, while the sum is 14.

Adding to 11112212111 its reverse (11121221111), we get a palindrome (22233433222).

The spelling of 11112212111 in words is "eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred eleven".

Divisors: 1 7 11 13 19 23 49 77 91 133 143 161 191 209 247 253 299 361 437 539 637 931 1001 1127 1337 1463 1729 1771 2093 2101 2483 2527 2717 3059 3289 3629 3971 4393 4693 4807 5681 7007 8303 9359 10241 12103 12397 14651 14707 17381 17689 19019 21413 23023 25403 27313 27797 30751 32851 33649 39767 39919 47177 48323 51623 57109 58121 62491 68951 83467 91333 102949 107939 121667 133133 161161 177821 191191 194579 215257 229957 235543 278369 279433 330239 338261 361361 399763 406847 437437 482657 518947 584269 628199 639331 755573 758461 896363 918137 1085071 1187329 1338337 1585873 1956031 2311673 2367827 2529527 2798341 3062059 3378599 3632629 4089883 4397393 4475317 5289011 5309227 6274541 6426959 7595497 8311303 9859993 11101111 11935781 17444603 20616349 25428403 30781751 37164589 43921787 44988713 53168479 58179121 69019951 77707777 83550467 122112221 144314443 226779839 483139657 584853269 854785547 1010201101 1587458873 11112212111