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382715100193 is a prime number
BaseRepresentation
bin1011001000110111001…
…10001111110000100001
31100120212001222111000111
411210123212033300201
522232300031201233
6451452240451321
736436015451056
oct5443346176041
91316761874014
10382715100193
11138343773338
126220a619b41
132a12260628a
141474872102d
159e4e1e6acd
hex591b98fc21

382715100193 has 2 divisors, whose sum is σ = 382715100194. Its totient is φ = 382715100192.

The previous prime is 382715100179. The next prime is 382715100217. The reversal of 382715100193 is 391001517283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378245910289 + 4469189904 = 615017^2 + 66852^2 .

It is a cyclic number.

It is not a de Polignac number, because 382715100193 - 29 = 382715099681 is a prime.

It is not a weakly prime, because it can be changed into another prime (382715100113) 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, 191357550096 + 191357550097.

It is an arithmetic number, because the mean of its divisors is an integer number (191357550097).

Almost surely, 2382715100193 is an apocalyptic number.

It is an amenable number.

382715100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

382715100193 is an equidigital number, since it uses as much as digits as its factorization.

382715100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 382715100193 in words is "three hundred eighty-two billion, seven hundred fifteen million, one hundred thousand, one hundred ninety-three".