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111100091112 = 233223397168991
BaseRepresentation
bin110011101111000010…
…1001101101011101000
3101121202202102101200100
41213132011031223220
53310013110403422
6123012204305400
711012110123113
oct1473605155350
9347682371610
10111100091112
114313211791a
1219647242260
13a6273b01aa
14553d34757a
152d5399a7ac
hex19de14dae8

111100091112 has 96 divisors (see below), whose sum is σ = 314771258880. Its totient is φ = 35333781120.

The previous prime is 111100091101. The next prime is 111100091153. The reversal of 111100091112 is 211190001111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572937 + ... + 741927.

It is an arithmetic number, because the mean of its divisors is an integer number (3278867280).

Almost surely, 2111100091112 is an apocalyptic number.

111100091112 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 111100091112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157385629440).

111100091112 is an abundant number, since it is smaller than the sum of its proper divisors (203671167768).

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

111100091112 is a wasteful number, since it uses less digits than its factorization.

111100091112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169423 (or 169416 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 111100091112 its reverse (211190001111), we get a palindrome (322290092223).

The spelling of 111100091112 in words is "one hundred eleven billion, one hundred million, ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 397 414 552 794 828 1191 1588 1656 2382 3176 3573 4764 7146 9131 9528 14292 18262 27393 28584 36524 54786 73048 82179 109572 164358 168991 219144 328716 337982 506973 657432 675964 1013946 1351928 1520919 2027892 3041838 3886793 4055784 6083676 7773586 11660379 12167352 15547172 23320758 31094344 34981137 46641516 67089427 69962274 93283032 134178854 139924548 201268281 268357708 279849096 402536562 536715416 603804843 805073124 1207609686 1543056821 1610146248 2415219372 3086113642 4629170463 4830438744 6172227284 9258340926 12344454568 13887511389 18516681852 27775022778 37033363704 55550045556 111100091112