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110055066 = 2311313781
BaseRepresentation
bin1101000111101…
…00111010011010
321200002101011120
412203310322122
5211133230231
614530510110
72504311152
oct643647232
9250071146
10110055066
115713a000
1230a35336
1319a54454
141088b762
1599ddd96
hex68f4e9a

110055066 has 32 divisors (see below), whose sum is σ = 242122176. Its totient is φ = 33347600.

The previous prime is 110055047. The next prime is 110055067. The reversal of 110055066 is 660550011.

It is a super-2 number, since 2×1100550662 = 24224235104528712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110055067) 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, 1096 + ... + 14876.

It is an arithmetic number, because the mean of its divisors is an integer number (7566318).

Almost surely, 2110055066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110055066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121061088).

110055066 is an abundant number, since it is smaller than the sum of its proper divisors (132067110).

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

110055066 is a wasteful number, since it uses less digits than its factorization.

110055066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 110055066 is about 10490.7133217908. The cubic root of 110055066 is about 479.2219251945.

The spelling of 110055066 in words is "one hundred ten million, fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 13781 27562 41343 82686 151591 303182 454773 909546 1667501 3335002 5002503 10005006 18342511 36685022 55027533 110055066