Search a number
-
+
3300122117 is a prime number
BaseRepresentation
bin1100010010110011…
…1101111000000101
322111222202120111002
43010230331320011
523224312401432
61303245023045
7144531401165
oct30454757005
98458676432
103300122117
111443918656
12781254a85
13407925aa6
1423440c5a5
15144ac8e62
hexc4b3de05

3300122117 has 2 divisors, whose sum is σ = 3300122118. Its totient is φ = 3300122116.

The previous prime is 3300122101. The next prime is 3300122123. The reversal of 3300122117 is 7112210033.

3300122117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3217839076 + 82283041 = 56726^2 + 9071^2 .

It is a cyclic number.

It is not a de Polignac number, because 3300122117 - 24 = 3300122101 is a prime.

It is a super-2 number, since 2×33001221172 = 21781611974225123378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3300122417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650061058 + 1650061059.

It is an arithmetic number, because the mean of its divisors is an integer number (1650061059).

Almost surely, 23300122117 is an apocalyptic number.

It is an amenable number.

3300122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300122117 is an equidigital number, since it uses as much as digits as its factorization.

3300122117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3300122117 is about 57446.6893476030. The cubic root of 3300122117 is about 1488.8239172190.

The spelling of 3300122117 in words is "three billion, three hundred million, one hundred twenty-two thousand, one hundred seventeen".