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66110121 = 3371131799
BaseRepresentation
bin1111110000110…
…0001010101001
311121101202001000
43330030022221
5113411010441
610320545213
71431632610
oct374141251
9147352030
1066110121
1134354570
121a182209
131090911c
148acc877
155c0d2b6
hex3f0c2a9

66110121 has 32 divisors (see below), whose sum is σ = 122112000. Its totient is φ = 34341840.

The previous prime is 66110113. The next prime is 66110129. The reversal of 66110121 is 12101166.

66110121 is a `hidden beast` number, since 661 + 1 + 0 + 1 + 2 + 1 = 666.

66110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66110113) and next prime (66110129).

It is not a de Polignac number, because 66110121 - 23 = 66110113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66110094 and 66110103.

It is not an unprimeable number, because it can be changed into a prime (66110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13821 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (3816000).

Almost surely, 266110121 is an apocalyptic number.

It is an amenable number.

66110121 is a deficient number, since it is larger than the sum of its proper divisors (56001879).

66110121 is a wasteful number, since it uses less digits than its factorization.

66110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31826 (or 31820 counting only the distinct ones).

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

The square root of 66110121 is about 8130.8130589751. The cubic root of 66110121 is about 404.3486374729.

Adding to 66110121 its reverse (12101166), we get a palindrome (78211287).

The spelling of 66110121 in words is "sixty-six million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 31799 95397 222593 286191 349789 667779 858573 1049367 2003337 2448523 3148101 6010011 7345569 9444303 22036707 66110121