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3305105341121 is a prime number
BaseRepresentation
bin110000000110000111101…
…000010011101011000001
3102200222001110210111121102
4300012013220103223001
5413122323431403441
611010202221504145
7460533406603043
oct60060750235301
912628043714542
103305105341121
11106476188a361
12454675112055
131ac893280ccc
14b5d7a0bba93
155ae9021669b
hex30187a13ac1

3305105341121 has 2 divisors, whose sum is σ = 3305105341122. Its totient is φ = 3305105341120.

The previous prime is 3305105341103. The next prime is 3305105341133. The reversal of 3305105341121 is 1211435015033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2537091480625 + 768013860496 = 1592825^2 + 876364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3305105341121 is a prime.

It is not a weakly prime, because it can be changed into another prime (3305105341151) 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, 1652552670560 + 1652552670561.

It is an arithmetic number, because the mean of its divisors is an integer number (1652552670561).

Almost surely, 23305105341121 is an apocalyptic number.

It is an amenable number.

3305105341121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3305105341121 is an equidigital number, since it uses as much as digits as its factorization.

3305105341121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 3305105341121 in words is "three trillion, three hundred five billion, one hundred five million, three hundred forty-one thousand, one hundred twenty-one".