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107244117 = 32291932129
BaseRepresentation
bin1100110010001…
…10101001010101
321110210120021100
412121012221111
5204423302432
614350340313
72441363031
oct631065125
9243716240
10107244117
115559a102
122baba699
13192abb76
14103591c1
15963607c
hex6646a55

107244117 has 24 divisors (see below), whose sum is σ = 161155800. Its totient is φ = 68640768.

The previous prime is 107244103. The next prime is 107244131. The reversal of 107244117 is 711442701.

It is an interprime number because it is at equal distance from previous prime (107244103) and next prime (107244131).

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 105144516 = 1449^2 + 10254^2 .

It is not a de Polignac number, because 107244117 - 210 = 107243093 is a prime.

It is a super-2 number, since 2×1072441172 = 23002601262219378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107244157) 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 23 ways as a sum of consecutive naturals, for example, 49309 + ... + 51437.

It is an arithmetic number, because the mean of its divisors is an integer number (6714825).

Almost surely, 2107244117 is an apocalyptic number.

It is an amenable number.

107244117 is a deficient number, since it is larger than the sum of its proper divisors (53911683).

107244117 is a wasteful number, since it uses less digits than its factorization.

107244117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 107244117 is about 10355.8735507923. The cubic root of 107244117 is about 475.1067047444.

Adding to 107244117 its reverse (711442701), we get a palindrome (818686818).

It can be divided in two parts, 10724 and 4117, that added together give a palindrome (14841).

The spelling of 107244117 in words is "one hundred seven million, two hundred forty-four thousand, one hundred seventeen".

Divisors: 1 3 9 29 87 193 261 579 1737 2129 5597 6387 16791 19161 50373 61741 185223 410897 555669 1232691 3698073 11916013 35748039 107244117