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383205118201 is a prime number
BaseRepresentation
bin1011001001110001100…
…11100001000011111001
31100122010020000222100121
411210320303201003321
522234301002240301
6452013023333241
736454115522023
oct5447063410371
91318106028317
10383205118201
111385753320a4
1262326751221
132a19cca4a69
1414793839013
159e7c23c3a1
hex5938ce10f9

383205118201 has 2 divisors, whose sum is σ = 383205118202. Its totient is φ = 383205118200.

The previous prime is 383205118147. The next prime is 383205118249. The reversal of 383205118201 is 102811502383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201919916025 + 181285202176 = 449355^2 + 425776^2 .

It is a cyclic number.

It is not a de Polignac number, because 383205118201 - 211 = 383205116153 is a prime.

It is not a weakly prime, because it can be changed into another prime (383205113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191602559100 + 191602559101.

It is an arithmetic number, because the mean of its divisors is an integer number (191602559101).

Almost surely, 2383205118201 is an apocalyptic number.

It is an amenable number.

383205118201 is a deficient number, since it is larger than the sum of its proper divisors (1).

383205118201 is an equidigital number, since it uses as much as digits as its factorization.

383205118201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 383205118201 in words is "three hundred eighty-three billion, two hundred five million, one hundred eighteen thousand, two hundred one".