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107006031 = 32111915659
BaseRepresentation
bin1100110000011…
…00100001001111
321110100110200100
412120030201033
5204343143111
614341302143
72436351636
oct630144117
9243313610
10107006031
1155447240
122ba04953
13192276a2
14102d651d
1595da756
hex660c84f

107006031 has 24 divisors (see below), whose sum is σ = 169528320. Its totient is φ = 64501200.

The previous prime is 107005957. The next prime is 107006047. The reversal of 107006031 is 130600701.

It is not a de Polignac number, because 107006031 - 211 = 107003983 is a prime.

It is a super-2 number, since 2×1070060312 = 22900581340745922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107005995 and 107006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107006531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16080 + ... + 21738.

It is an arithmetic number, because the mean of its divisors is an integer number (7063680).

Almost surely, 2107006031 is an apocalyptic number.

107006031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107006031 is a deficient number, since it is larger than the sum of its proper divisors (62522289).

107006031 is a wasteful number, since it uses less digits than its factorization.

107006031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107006031 is about 10344.3719480692. The cubic root of 107006031 is about 474.7548592884.

Adding to 107006031 its reverse (130600701), we get a palindrome (237606732).

The spelling of 107006031 in words is "one hundred seven million, six thousand, thirty-one".

Divisors: 1 3 9 11 33 99 191 573 1719 2101 5659 6303 16977 18909 50931 62249 186747 560241 1080869 3242607 9727821 11889559 35668677 107006031