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112211000112211 = 71121319101252579
BaseRepresentation
bin11001100000111000101000…
…110011010011010001010011
3112201022021012112022220201221
4121200320220303103101103
5104201431112012042321
61034353004413305511
732430656121422620
oct3140705063232123
9481267175286657
10112211000112211
1132832466257300
12107032b0a95297
134a7c5b4abb420
141d9d0817b1347
15ce8ceb726e41
hex660e28cd3453

112211000112211 has 144 divisors (see below), whose sum is σ = 161392719980800. Its totient is φ = 75704748768000.

The previous prime is 112211000112139. The next prime is 112211000112227.

112211000112211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112211000112211 - 29 = 112211000111699 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (112211000112251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2134114720 + ... + 2134167298.

Almost surely, 2112211000112211 is an apocalyptic number.

112211000112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112211000112211 is a deficient number, since it is larger than the sum of its proper divisors (49181719868589).

112211000112211 is a wasteful number, since it uses less digits than its factorization.

112211000112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52842 (or 52730 counting only the distinct ones).

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

It can be divided in two parts, 112211000 and 112211, that added together give a palindrome (112323211).

The spelling of 112211000112211 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twelve thousand, two hundred eleven".

Divisors: 1 7 11 13 19 77 91 101 121 133 143 209 247 707 847 1001 1111 1313 1463 1573 1729 1919 2299 2717 7777 9191 10201 11011 12221 13433 14443 16093 19019 21109 24947 29887 52579 71407 85547 101101 112211 132613 147763 158873 174629 193819 209209 232199 274417 368053 578369 683527 785477 928291 999001 1112111 1234321 1356733 1458743 1625393 1920919 2132009 2519647 3018587 4048583 4784689 5310479 6362059 6993007 7518797 8640247 10211201 10989011 12987013 14924063 16046173 17637529 21130109 23452099 27716117 37173353 44534413 52631579 58415269 69036227 76923077 82706767 90909091 100899101 112323211 120879121 142857143 164164693 194012819 304877287 408906883 483253589 536358379 578947369 642567959 706293707 759398497 846153847 1000000001 1109890111 1311688313 1571428573 2134141009 3754508653 4497975713 5315789479 5899942169 6972658927 7769230777 8353383467 9181818191 10190809201 11000000011 12208791221 14428571443 41299595183 48808612489 58473684269 64899363859 71335664407 76699248197 85461538547 101000000101 112098901211 132480519613 158714285873 454295547013 536894737379 784692308477 843691730167 927363637291 1111000001111 1233087913321 1457285715743 5905842111169 8631615393247 10201000010201 16030142873173 112211000112211