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110066121 = 351141177
BaseRepresentation
bin1101000111101…
…11100111001001
321200002221100000
412203313213021
5211134103441
614531033213
72504355324
oct643674711
9250087300
10110066121
1157147340
1230a3b809
1319a594a9
14108917bb
1599e22b6
hex68f79c9

110066121 has 24 divisors (see below), whose sum is σ = 179865504. Its totient is φ = 66705120.

The previous prime is 110066119. The next prime is 110066123. The reversal of 110066121 is 121660011.

110066121 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 661 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110066119) and next prime (110066123).

It is not a de Polignac number, because 110066121 - 21 = 110066119 is a prime.

It is a super-2 number, since 2×1100661212 = 24229101983973282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110066094 and 110066103.

It is not an unprimeable number, because it can be changed into a prime (110066123) 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, 17916 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (7494396).

Almost surely, 2110066121 is an apocalyptic number.

110066121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110066121 is a deficient number, since it is larger than the sum of its proper divisors (69799383).

110066121 is an equidigital number, since it uses as much as digits as its factorization.

110066121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41203 (or 41191 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 110066121 is about 10491.2402031409. The cubic root of 110066121 is about 479.2379705592.

The spelling of 110066121 in words is "one hundred ten million, sixty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 41177 123531 370593 452947 1111779 1358841 3335337 4076523 10006011 12229569 36688707 110066121