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11100110111112 = 23311371729365713
BaseRepresentation
bin1010000110000111001000…
…0111101100000110001000
31110022011022202111020121110
42201201302013230012020
52423331011142023422
635335153054410320
72223646035115431
oct241416207540610
943264282436543
1011100110111112
11359a591862130
1212b33385009a0
136269749a75a9
142a536909a488
15143b153e460c
hexa18721ec188

11100110111112 has 128 divisors (see below), whose sum is σ = 31093488581760. Its totient is φ = 3272520683520.

The previous prime is 11100110111033. The next prime is 11100110111143. The reversal of 11100110111112 is 21111101100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168885168 + ... + 168950880.

It is an arithmetic number, because the mean of its divisors is an integer number (242917879545).

Almost surely, 211100110111112 is an apocalyptic number.

11100110111112 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 11100110111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546744290880).

11100110111112 is an abundant number, since it is smaller than the sum of its proper divisors (19993378470648).

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

11100110111112 is a wasteful number, since it uses less digits than its factorization.

11100110111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83063 (or 83059 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11100110111112 its reverse (21111101100111), we get a palindrome (32211211211223).

The spelling of 11100110111112 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 17293 34586 51879 65713 69172 103758 131426 138344 190223 197139 207516 262852 380446 394278 415032 525704 570669 639841 722843 760892 788556 1141338 1279682 1445686 1521784 1577112 1919523 2168529 2282676 2431381 2559364 2891372 3839046 4337058 4565352 4862762 5118728 5782744 7038251 7294143 7678092 8674116 9725524 14076502 14588286 15356184 17348232 19451048 21114753 26745191 28153004 29176572 42229506 53490382 56306008 58353144 80235573 84459012 106980764 160471146 168918024 213961528 320942292 641884584 1136374909 2272749818 3409124727 4545499636 6818249454 9090999272 12500123999 13636498908 25000247998 27272997816 37500371997 42045871633 50000495996 75000743994 84091743266 100000991992 126137614899 150001487988 168183486532 252275229798 300002975976 336366973064 462504587963 504550459596 925009175926 1009100919192 1387513763889 1850018351852 2775027527778 3700036703704 5550055055556 11100110111112