Search a number
-
+
385119642097 is a prime number
BaseRepresentation
bin1011001101010101110…
…10110110000111110001
31100211001122112212102001
411212222322312013301
522302211112021342
6452531014254001
736552423642241
oct5465272660761
91324048485361
10385119642097
11139367aa8253
126277b957301
132a416822338
14148d5c03b21
15a0403688b7
hex59aaeb61f1

385119642097 has 2 divisors, whose sum is σ = 385119642098. Its totient is φ = 385119642096.

The previous prime is 385119642023. The next prime is 385119642109. The reversal of 385119642097 is 790246911583.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288284160241 + 96835481856 = 536921^2 + 311184^2 .

It is a cyclic number.

It is not a de Polignac number, because 385119642097 - 235 = 350759903729 is a prime.

It is not a weakly prime, because it can be changed into another prime (385119642007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192559821048 + 192559821049.

It is an arithmetic number, because the mean of its divisors is an integer number (192559821049).

It is a 1-persistent number, because it is pandigital, but 2⋅385119642097 = 770239284194 is not.

Almost surely, 2385119642097 is an apocalyptic number.

It is an amenable number.

385119642097 is a deficient number, since it is larger than the sum of its proper divisors (1).

385119642097 is an equidigital number, since it uses as much as digits as its factorization.

385119642097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 385119642097 in words is "three hundred eighty-five billion, one hundred nineteen million, six hundred forty-two thousand, ninety-seven".