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381461100697 is a prime number
BaseRepresentation
bin1011000110100001101…
…10100111100010011001
31100110121200100201002201
411203100312213202121
522222213020210242
6451124003130201
736362650566625
oct5432066474231
91313550321081
10381461100697
1113785a934a16
1261b1a673961
1329c82886141
1414669d76185
159dc90914b7
hex58d0da7899

381461100697 has 2 divisors, whose sum is σ = 381461100698. Its totient is φ = 381461100696.

The previous prime is 381461100679. The next prime is 381461100731. The reversal of 381461100697 is 796001164183.

Together with previous prime (381461100679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 323964734041 + 57496366656 = 569179^2 + 239784^2 .

It is a cyclic number.

It is not a de Polignac number, because 381461100697 - 211 = 381461098649 is a prime.

It is not a weakly prime, because it can be changed into another prime (381461100677) 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, 190730550348 + 190730550349.

It is an arithmetic number, because the mean of its divisors is an integer number (190730550349).

Almost surely, 2381461100697 is an apocalyptic number.

It is an amenable number.

381461100697 is a deficient number, since it is larger than the sum of its proper divisors (1).

381461100697 is an equidigital number, since it uses as much as digits as its factorization.

381461100697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 381461100697 in words is "three hundred eighty-one billion, four hundred sixty-one million, one hundred thousand, six hundred ninety-seven".