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381243608201 is a prime number
BaseRepresentation
bin1011000110000111110…
…00111100110010001001
31100110001112002221111002
411203003320330302021
522221241330430301
6451050233344345
736354400126001
oct5430370746211
91313045087432
10381243608201
11137759094655
1261a798680b5
1329c497b5b61
141464911d001
159db4e2e16b
hex58c3e3cc89

381243608201 has 2 divisors, whose sum is σ = 381243608202. Its totient is φ = 381243608200.

The previous prime is 381243608167. The next prime is 381243608203. The reversal of 381243608201 is 102806342183.

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., 361079608201 + 20164000000 = 600899^2 + 142000^2 .

It is an emirp because it is prime and its reverse (102806342183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 381243608201 - 222 = 381239413897 is a prime.

Together with 381243608203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (381243608203) 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, 190621804100 + 190621804101.

It is an arithmetic number, because the mean of its divisors is an integer number (190621804101).

Almost surely, 2381243608201 is an apocalyptic number.

It is an amenable number.

381243608201 is a deficient number, since it is larger than the sum of its proper divisors (1).

381243608201 is an equidigital number, since it uses as much as digits as its factorization.

381243608201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 381243608201 in words is "three hundred eighty-one billion, two hundred forty-three million, six hundred eight thousand, two hundred one".