Search a number
-
+
111210002112 = 26311179294169
BaseRepresentation
bin110011110010010100…
…0011111011011000000
3101122001102020110020010
41213210220133123000
53310224230031422
6123031132144520
711014613264256
oct1474450373300
9348042213203
10111210002112
1143189168660
1219678008140
13a6440b3ba1
14554db985d6
152d5d45bb0c
hex19e4a1f6c0

111210002112 has 112 divisors (see below), whose sum is σ = 322786857600. Its totient is φ = 33511618560.

The previous prime is 111210002083. The next prime is 111210002119. The reversal of 111210002112 is 211200012111.

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

It is not an unprimeable number, because it can be changed into a prime (111210002119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230964 + ... + 525132.

Almost surely, 2111210002112 is an apocalyptic number.

111210002112 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 111210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161393428800).

111210002112 is an abundant number, since it is smaller than the sum of its proper divisors (211576855488).

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

111210002112 is a wasteful number, since it uses less digits than its factorization.

111210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294374 (or 294364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111210002112 its reverse (211200012111), we get a palindrome (322410014223).

Subtracting 111210002112 from its reverse (211200012111), we obtain a palindrome (99990009999).

The spelling of 111210002112 in words is "one hundred eleven billion, two hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 179 192 264 352 358 528 537 704 716 1056 1074 1432 1969 2112 2148 2864 3938 4296 5728 5907 7876 8592 11456 11814 15752 17184 23628 31504 34368 47256 63008 94512 126016 189024 294169 378048 588338 882507 1176676 1765014 2353352 3235859 3530028 4706704 6471718 7060056 9413408 9707577 12943436 14120112 18826816 19415154 25886872 28240224 38830308 51773744 52656251 56480448 77660616 103547488 105312502 155321232 157968753 207094976 210625004 310642464 315937506 421250008 579218761 621284928 631875012 842500016 1158437522 1263750024 1685000032 1737656283 2316875044 2527500048 3370000064 3475312566 4633750088 5055000096 6950625132 9267500176 10110000192 13901250264 18535000352 27802500528 37070000704 55605001056 111210002112