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383807683081 is a prime number
BaseRepresentation
bin1011001010111001011…
…10000111101000001001
31100200200012212102222101
411211130232013220021
522242014231324311
6452152510353401
736505053322654
oct5453456075011
91320605772871
10383807683081
11138854481aa9
12624744bb861
132a267a8ac24
141480d88c89b
159eb50b4ec1
hex595cb87a09

383807683081 has 2 divisors, whose sum is σ = 383807683082. Its totient is φ = 383807683080.

The previous prime is 383807683079. The next prime is 383807683111. The reversal of 383807683081 is 180386708383.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250316099856 + 133491583225 = 500316^2 + 365365^2 .

It is a cyclic number.

It is not a de Polignac number, because 383807683081 - 21 = 383807683079 is a prime.

It is a super-3 number, since 3×3838076830813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 383807683079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (383807683001) 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, 191903841540 + 191903841541.

It is an arithmetic number, because the mean of its divisors is an integer number (191903841541).

Almost surely, 2383807683081 is an apocalyptic number.

It is an amenable number.

383807683081 is a deficient number, since it is larger than the sum of its proper divisors (1).

383807683081 is an equidigital number, since it uses as much as digits as its factorization.

383807683081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 383807683081 in words is "three hundred eighty-three billion, eight hundred seven million, six hundred eighty-three thousand, eighty-one".