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101348693 is a prime number
BaseRepresentation
bin1100000101001…
…11010101010101
321001201001021022
412002213111111
5201421124233
614020130525
72340310145
oct602472525
9231631238
10101348693
1152232856
1229b36a45
1317cc6654
14d662925
158d6e398
hex60a7555

101348693 has 2 divisors, whose sum is σ = 101348694. Its totient is φ = 101348692.

The previous prime is 101348659. The next prime is 101348699. The reversal of 101348693 is 396843101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100440484 + 908209 = 10022^2 + 953^2 .

It is a cyclic number.

It is not a de Polignac number, because 101348693 - 210 = 101347669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101348699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50674346 + 50674347.

It is an arithmetic number, because the mean of its divisors is an integer number (50674347).

Almost surely, 2101348693 is an apocalyptic number.

It is an amenable number.

101348693 is a deficient number, since it is larger than the sum of its proper divisors (1).

101348693 is an equidigital number, since it uses as much as digits as its factorization.

101348693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 101348693 is about 10067.2087988677. The cubic root of 101348693 is about 466.2362647881.

The spelling of 101348693 in words is "one hundred one million, three hundred forty-eight thousand, six hundred ninety-three".