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303120780133 is a prime number
BaseRepresentation
bin1000110100100110110…
…10000000101101100101
31001222102000020002021111
410122103122000231211
514431242404431013
6351130214145021
730620421055603
oct4322332005545
91058360202244
10303120780133
11107609861636
124a8b6652171
1322779551182
14109577c8873
157d4165e73d
hex4693680b65

303120780133 has 2 divisors, whose sum is σ = 303120780134. Its totient is φ = 303120780132.

The previous prime is 303120780101. The next prime is 303120780161. The reversal of 303120780133 is 331087021303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275817183489 + 27303596644 = 525183^2 + 165238^2 .

It is a cyclic number.

It is not a de Polignac number, because 303120780133 - 25 = 303120780101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 303120780095 and 303120780104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (303120780163) 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, 151560390066 + 151560390067.

It is an arithmetic number, because the mean of its divisors is an integer number (151560390067).

Almost surely, 2303120780133 is an apocalyptic number.

It is an amenable number.

303120780133 is a deficient number, since it is larger than the sum of its proper divisors (1).

303120780133 is an equidigital number, since it uses as much as digits as its factorization.

303120780133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 303120780133 in words is "three hundred three billion, one hundred twenty million, seven hundred eighty thousand, one hundred thirty-three".