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441313100117 is a prime number
BaseRepresentation
bin1100110110000000100…
…11111000000101010101
31120012002212110022012222
412123000103320011111
524212302123200432
6534423023152125
743612102313021
oct6330023700525
91505085408188
10441313100117
11160183815a4a
1271642a45645
1332800764506
1417506d01381
15b72d80c112
hex66c04f8155

441313100117 has 2 divisors, whose sum is σ = 441313100118. Its totient is φ = 441313100116.

The previous prime is 441313100113. The next prime is 441313100141. The reversal of 441313100117 is 711001313144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310481869681 + 130831230436 = 557209^2 + 361706^2 .

It is a cyclic number.

It is not a de Polignac number, because 441313100117 - 22 = 441313100113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (441313100113) 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, 220656550058 + 220656550059.

It is an arithmetic number, because the mean of its divisors is an integer number (220656550059).

Almost surely, 2441313100117 is an apocalyptic number.

It is an amenable number.

441313100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

441313100117 is an equidigital number, since it uses as much as digits as its factorization.

441313100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 441313100117 in words is "four hundred forty-one billion, three hundred thirteen million, one hundred thousand, one hundred seventeen".