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106982309 = 717252883
BaseRepresentation
bin1100110000001…
…10101110100101
321110022021010202
412120012232211
5204341413214
614341000245
72436222530
oct630065645
9243267122
10106982309
1155430435
122b9b3085
1319219955
14102cba17
1595d36de
hex6606ba5

106982309 has 12 divisors (see below), whose sum is σ = 129883104. Its totient is φ = 86303424.

The previous prime is 106982299. The next prime is 106982311. The reversal of 106982309 is 903289601.

It is a de Polignac number, because none of the positive numbers 2k-106982309 is a prime.

It is a super-2 number, since 2×1069823092 = 22890428877942962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106982339) 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 11 ways as a sum of consecutive naturals, for example, 24419 + ... + 28464.

It is an arithmetic number, because the mean of its divisors is an integer number (10823592).

Almost surely, 2106982309 is an apocalyptic number.

It is an amenable number.

106982309 is a deficient number, since it is larger than the sum of its proper divisors (22900795).

106982309 is an equidigital number, since it uses as much as digits as its factorization.

106982309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52924 (or 52907 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 106982309 is about 10343.2252706784. The cubic root of 106982309 is about 474.7197741410.

The spelling of 106982309 in words is "one hundred six million, nine hundred eighty-two thousand, three hundred nine".

Divisors: 1 7 17 119 289 2023 52883 370181 899011 6293077 15283187 106982309