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110020117 is a prime number
BaseRepresentation
bin1101000111011…
…00011000010101
321200000121020011
412203230120111
5211131120432
614530040221
72504104234
oct643543025
9250017204
10110020117
1157115819
1230a19071
1319a4157c
141087cb1b
1599d3847
hex68ec615

110020117 has 2 divisors, whose sum is σ = 110020118. Its totient is φ = 110020116.

The previous prime is 110020093. The next prime is 110020123. The reversal of 110020117 is 711020011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77598481 + 32421636 = 8809^2 + 5694^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110020117 is a prime.

It is a super-2 number, since 2×1100201172 = 24208852289387378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110020097 and 110020106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110020177) 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 as a sum of consecutive naturals, namely, 55010058 + 55010059.

It is an arithmetic number, because the mean of its divisors is an integer number (55010059).

Almost surely, 2110020117 is an apocalyptic number.

It is an amenable number.

110020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110020117 is an equidigital number, since it uses as much as digits as its factorization.

110020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 110020117 is about 10489.0474782032. The cubic root of 110020117 is about 479.1711927117.

Adding to 110020117 its reverse (711020011), we get a palindrome (821040128).

The spelling of 110020117 in words is "one hundred ten million, twenty thousand, one hundred seventeen".