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381027191117 is a prime number
BaseRepresentation
bin1011000101101101111…
…11011000100101001101
31100102111102212211001112
411202312333120211031
522220320430103432
6451012543021405
736346131454256
oct5426677304515
91312442784045
10381027191117
11137657a09261
1261a1929a865
1329c13a01201
14146284a5b2d
159da0e307b2
hex58b6fd894d

381027191117 has 2 divisors, whose sum is σ = 381027191118. Its totient is φ = 381027191116.

The previous prime is 381027191059. The next prime is 381027191119. The reversal of 381027191117 is 711191720183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204678427396 + 176348763721 = 452414^2 + 419939^2 .

It is a cyclic number.

It is not a de Polignac number, because 381027191117 - 28 = 381027190861 is a prime.

Together with 381027191119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381027191119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190513595558 + 190513595559.

It is an arithmetic number, because the mean of its divisors is an integer number (190513595559).

Almost surely, 2381027191117 is an apocalyptic number.

It is an amenable number.

381027191117 is a deficient number, since it is larger than the sum of its proper divisors (1).

381027191117 is an equidigital number, since it uses as much as digits as its factorization.

381027191117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 41.

Subtracting from 381027191117 its sum of digits (41), we obtain a square (381027191076 = 6172742).

The spelling of 381027191117 in words is "three hundred eighty-one billion, twenty-seven million, one hundred ninety-one thousand, one hundred seventeen".