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106730833 = 1122338351
BaseRepresentation
bin1100101110010…
…01010101010001
321102211111011211
412113021111101
5204310341313
614331340121
72434124416
oct627112521
9242744154
10106730833
1155279500
122b8b1641
131915c351
141026410d
159583e3d
hex65c9551

106730833 has 12 divisors (see below), whose sum is σ = 122419584. Its totient is φ = 92807000.

The previous prime is 106730807. The next prime is 106730839. The reversal of 106730833 is 338037601.

It is not a de Polignac number, because 106730833 - 25 = 106730801 is a prime.

It is a super-2 number, since 2×1067308332 = 22782941425747778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106730795 and 106730804.

It is not an unprimeable number, because it can be changed into a prime (106730839) 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, 16393 + ... + 21958.

It is an arithmetic number, because the mean of its divisors is an integer number (10201632).

Almost surely, 2106730833 is an apocalyptic number.

It is an amenable number.

106730833 is a deficient number, since it is larger than the sum of its proper divisors (15688751).

106730833 is a wasteful number, since it uses less digits than its factorization.

106730833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38396 (or 38385 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 106730833 is about 10331.0615621048. The cubic root of 106730833 is about 474.3475185368.

The spelling of 106730833 in words is "one hundred six million, seven hundred thirty thousand, eight hundred thirty-three".

Divisors: 1 11 23 121 253 2783 38351 421861 882073 4640471 9702803 106730833