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111006056 = 237172193
BaseRepresentation
bin1101001110111…
…01000101101000
321201212200200102
412213131011220
5211404143211
615003124532
72515351550
oct647350550
9251780612
10111006056
1157729547
1231213748
1319cc8275
1410a58160
159b2aa3b
hex69dd168

111006056 has 96 divisors (see below), whose sum is σ = 266721600. Its totient is φ = 42418944.

The previous prime is 111006053. The next prime is 111006067. The reversal of 111006056 is 650600111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111006053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842415 + ... + 5842433.

It is an arithmetic number, because the mean of its divisors is an integer number (2778350).

Almost surely, 2111006056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133360800).

111006056 is an abundant number, since it is smaller than the sum of its proper divisors (155715544).

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

111006056 is an equidigital number, since it uses as much as digits as its factorization.

111006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 111006056 is about 10535.9411539739. The cubic root of 111006056 is about 480.5982933027.

Adding to 111006056 its reverse (650600111), we get a palindrome (761606167).

The spelling of 111006056 in words is "one hundred eleven million, six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 289 323 361 476 532 578 646 722 952 1064 1156 1292 1444 2023 2261 2312 2527 2584 2888 4046 4522 5054 5491 6137 6859 8092 9044 10108 10982 12274 13718 16184 18088 20216 21964 24548 27436 38437 42959 43928 48013 49096 54872 76874 85918 96026 104329 116603 153748 171836 192052 208658 233206 307496 343672 384104 417316 466412 730303 816221 834632 932824 1460606 1632442 1982251 2921212 3264884 3964502 5842424 6529768 7929004 13875757 15858008 27751514 55503028 111006056