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382013409331 is a prime number
BaseRepresentation
bin1011000111100011100…
…01100000100000110011
31100112001011121220010001
411203301301200200303
522224330413044311
6451254453050431
736412435255111
oct5436161404063
91315034556101
10382013409331
11138013679634
1262053626a17
132a040124398
14146bd466ab1
159e0c7dd4c1
hex58f1c60833

382013409331 has 2 divisors, whose sum is σ = 382013409332. Its totient is φ = 382013409330.

The previous prime is 382013409319. The next prime is 382013409377. The reversal of 382013409331 is 133904310283.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382013409331 is a prime.

It is a super-2 number, since 2×3820134093312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (382013409301) 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, 191006704665 + 191006704666.

It is an arithmetic number, because the mean of its divisors is an integer number (191006704666).

Almost surely, 2382013409331 is an apocalyptic number.

382013409331 is a deficient number, since it is larger than the sum of its proper divisors (1).

382013409331 is an equidigital number, since it uses as much as digits as its factorization.

382013409331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 382013409331 in words is "three hundred eighty-two billion, thirteen million, four hundred nine thousand, three hundred thirty-one".