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1118042112 = 21131171233
BaseRepresentation
bin100001010100011…
…1111100000000000
32212220210102110010
41002220333200000
54242204321422
6302535304520
736464125665
oct10250774000
92786712403
101118042112
11524118650
1227251b140
1314a829ba5
14a86b7a6c
156824bb0c
hex42a3f800

1118042112 has 192 divisors, whose sum is σ = 3311642880. Its totient is φ = 332595200.

The previous prime is 1118042089. The next prime is 1118042131. The reversal of 1118042112 is 2112408111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4798348 + ... + 4798580.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 21118042112 is an apocalyptic number.

1118042112 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 1118042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655821440).

1118042112 is an abundant number, since it is smaller than the sum of its proper divisors (2193600768).

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

1118042112 is a wasteful number, since it uses less digits than its factorization.

1118042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 1118042112 is about 33437.1367195219. The cubic root of 1118042112 is about 1037.8933292026.

The spelling of 1118042112 in words is "one billion, one hundred eighteen million, forty-two thousand, one hundred twelve".