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381609328141 is a prime number
BaseRepresentation
bin1011000110110011011…
…00000011111000001101
31100111000000021102221001
411203121230003320031
522223013442000031
6451150420140301
736366430524616
oct5433154037015
91314000242831
10381609328141
11137926576438
1261b60237691
1329ca74b42a2
141468191cc0d
159dd70c0861
hex58d9b03e0d

381609328141 has 2 divisors, whose sum is σ = 381609328142. Its totient is φ = 381609328140.

The previous prime is 381609328123. The next prime is 381609328147. The reversal of 381609328141 is 141823906183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287559772516 + 94049555625 = 536246^2 + 306675^2 .

It is a cyclic number.

It is not a de Polignac number, because 381609328141 - 25 = 381609328109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 381609328091 and 381609328100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381609328147) 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, 190804664070 + 190804664071.

It is an arithmetic number, because the mean of its divisors is an integer number (190804664071).

Almost surely, 2381609328141 is an apocalyptic number.

It is an amenable number.

381609328141 is a deficient number, since it is larger than the sum of its proper divisors (1).

381609328141 is an equidigital number, since it uses as much as digits as its factorization.

381609328141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 381609328141 in words is "three hundred eighty-one billion, six hundred nine million, three hundred twenty-eight thousand, one hundred forty-one".