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1117006117 is a prime number
BaseRepresentation
bin100001010010100…
…0010100100100101
32212211211210022221
41002211002210211
54241423143432
6302501152341
736452252413
oct10245024445
92784753287
101117006117
11523580257
122720bb6b1
1314a556486
14a84c82b3
15680e4b97
hex42942925

1117006117 has 2 divisors, whose sum is σ = 1117006118. Its totient is φ = 1117006116.

The previous prime is 1117006081. The next prime is 1117006127. The reversal of 1117006117 is 7116007111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1115159236 + 1846881 = 33394^2 + 1359^2 .

It is a cyclic number.

It is not a de Polignac number, because 1117006117 - 223 = 1108617509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1117006091 and 1117006100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1117006127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 558503058 + 558503059.

It is an arithmetic number, because the mean of its divisors is an integer number (558503059).

Almost surely, 21117006117 is an apocalyptic number.

It is an amenable number.

1117006117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1117006117 is an equidigital number, since it uses as much as digits as its factorization.

1117006117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 25.

The square root of 1117006117 is about 33421.6414468230. The cubic root of 1117006117 is about 1037.5726541659.

The spelling of 1117006117 in words is "one billion, one hundred seventeen million, six thousand, one hundred seventeen".