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110055114 = 232131373433
BaseRepresentation
bin1101000111101…
…00111011001010
321200002101020100
412203310323022
5211133230424
614530510230
72504311251
oct643647312
9250071210
10110055114
115713a044
1230a35376
1319a54490
141088b798
1599dddc9
hex68f4eca

110055114 has 48 divisors (see below), whose sum is σ = 258745032. Its totient is φ = 33606144.

The previous prime is 110055097. The next prime is 110055181. The reversal of 110055114 is 411550011.

It is a happy number.

110055114 is a `hidden beast` number, since 1 + 100 + 551 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71825625 + 38229489 = 8475^2 + 6183^2 .

It is a super-2 number, since 2×1100551142 = 24224256235105992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 30342 + ... + 33774.

Almost surely, 2110055114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110055114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129372516).

110055114 is an abundant number, since it is smaller than the sum of its proper divisors (148689918).

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

110055114 is a wasteful number, since it uses less digits than its factorization.

110055114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 110055114 is about 10490.7156095283. The cubic root of 110055114 is about 479.2219948647.

It can be divided in two parts, 11005511 and 4, that multiplied together give a palindrome (44022044).

The spelling of 110055114 in words is "one hundred ten million, fifty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1781 2466 3433 3562 5343 6866 10299 10686 16029 20598 30897 32058 44629 61794 89258 133887 267774 401661 470321 803322 940642 1410963 2821926 4232889 6114173 8465778 12228346 18342519 36685038 55027557 110055114