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3300110117 is a prime number
BaseRepresentation
bin1100010010110011…
…1010111100100101
322111222201222000122
43010230322330211
523224312010432
61303244451325
7144531321203
oct30454727445
98458658018
103300110117
11144390a637
12781249b45
134079204a5
14234408073
15144ac5612
hexc4b3af25

3300110117 has 2 divisors, whose sum is σ = 3300110118. Its totient is φ = 3300110116.

The previous prime is 3300110087. The next prime is 3300110141. The reversal of 3300110117 is 7110110033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3295448836 + 4661281 = 57406^2 + 2159^2 .

It is a cyclic number.

It is not a de Polignac number, because 3300110117 - 28 = 3300109861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3300110095 and 3300110104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3300110417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650055058 + 1650055059.

It is an arithmetic number, because the mean of its divisors is an integer number (1650055059).

Almost surely, 23300110117 is an apocalyptic number.

It is an amenable number.

3300110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300110117 is an equidigital number, since it uses as much as digits as its factorization.

3300110117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 3300110117 is about 57446.5849028469. The cubic root of 3300110117 is about 1488.8221126485.

The spelling of 3300110117 in words is "three billion, three hundred million, one hundred ten thousand, one hundred seventeen".