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106330023 = 3319210909
BaseRepresentation
bin1100101011001…
…11011110100111
321102002010101000
412111213132213
5204210030043
614315004343
72430535032
oct625473647
9242063330
10106330023
1155025358
122b7396b3
131904ba97
141019c019
1595052d3
hex65677a7

106330023 has 24 divisors (see below), whose sum is σ = 166268400. Its totient is φ = 67149648.

The previous prime is 106330009. The next prime is 106330039. The reversal of 106330023 is 320033601.

It is a happy number.

106330023 is a `hidden beast` number, since 10 + 633 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 106330023 - 26 = 106329959 is a prime.

It is a super-2 number, since 2×1063300232 = 22612147582361058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106329978 and 106330005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106330043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4293 + ... + 15201.

It is an arithmetic number, because the mean of its divisors is an integer number (6927850).

Almost surely, 2106330023 is an apocalyptic number.

106330023 is a deficient number, since it is larger than the sum of its proper divisors (59938377).

106330023 is a wasteful number, since it uses less digits than its factorization.

106330023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 106330023 is about 10311.6450191034. The cubic root of 106330023 is about 473.7529958063.

Adding to 106330023 its reverse (320033601), we get a palindrome (426363624).

The spelling of 106330023 in words is "one hundred six million, three hundred thirty thousand, twenty-three".

Divisors: 1 3 9 19 27 57 171 361 513 1083 3249 9747 10909 32727 98181 207271 294543 621813 1865439 3938149 5596317 11814447 35443341 106330023