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111111000012 = 223223461291089
BaseRepresentation
bin110011101111010111…
…0110100111111001100
3101121210111221121212200
41213132232310333030
53310023404000022
6123013234201500
711012301626355
oct1473656647714
9347714847780
10111111000012
1143138298941
121964aa23290
13a62972c66c
145540986d2c
152d54902bac
hex19debb4fcc

111111000012 has 72 divisors (see below), whose sum is σ = 293712138720. Its totient is φ = 35349726720.

The previous prime is 111110999999. The next prime is 111111000041. The reversal of 111111000012 is 210000111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111110999958 and 111111000003.

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, 236164 + ... + 527252.

It is an arithmetic number, because the mean of its divisors is an integer number (4079335260).

Almost surely, 2111111000012 is an apocalyptic number.

111111000012 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 111111000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146856069360).

111111000012 is an abundant number, since it is smaller than the sum of its proper divisors (182601138708).

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

111111000012 is a wasteful number, since it uses less digits than its factorization.

111111000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291583 (or 291578 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111111000012 its reverse (210000111111), we get a palindrome (321111111123).

The spelling of 111111000012 in words is "one hundred eleven billion, one hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 461 828 922 1383 1844 2766 4149 5532 8298 10603 16596 21206 31809 42412 63618 95427 127236 190854 291089 381708 582178 873267 1164356 1746534 2619801 3493068 5239602 6695047 10479204 13390094 20085141 26780188 40170282 60255423 80340564 120510846 134192029 241021692 268384058 402576087 536768116 805152174 1207728261 1610304348 2415456522 3086416667 4830913044 6172833334 9259250001 12345666668 18518500002 27777750003 37037000004 55555500006 111111000012