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110130293 = 7213832083
BaseRepresentation
bin1101001000001…
…11010001110101
321200020012100202
412210013101311
5211143132133
614532250245
72505043400
oct644072165
9250205322
10110130293
1157190579
1230a70985
1319a7c770
14108aad37
159a062e8
hex6907475

110130293 has 24 divisors (see below), whose sum is σ = 139694688. Its totient is φ = 86044896.

The previous prime is 110130253. The next prime is 110130311. The reversal of 110130293 is 392031011.

It is not a de Polignac number, because 110130293 - 214 = 110113909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130253) 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, 51830 + ... + 53912.

It is an arithmetic number, because the mean of its divisors is an integer number (5820612).

Almost surely, 2110130293 is an apocalyptic number.

110130293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110130293 is a deficient number, since it is larger than the sum of its proper divisors (29564395).

110130293 is a wasteful number, since it uses less digits than its factorization.

110130293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 110130293 is about 10494.2981185023. The cubic root of 110130293 is about 479.3310893861.

The spelling of 110130293 in words is "one hundred ten million, one hundred thirty thousand, two hundred ninety-three".

Divisors: 1 7 13 49 83 91 581 637 1079 2083 4067 7553 14581 27079 52871 102067 172889 189553 1210223 1326871 2247557 8471561 15732899 110130293