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107581006390393 is a prime number
BaseRepresentation
bin11000011101100000100111…
…101010111010010001111001
3112002220122101022022012222201
4120131200213222322101321
5103100101400113443033
61020450010531350201
731442320425221404
oct3035404752722171
9462818338265881
10107581006390393
1131307937526a98
1210095b05452361
134804acb38ac03
141c7cd3c938d3b
15c6866761547d
hex61d827aba479

107581006390393 has 2 divisors, whose sum is σ = 107581006390394. Its totient is φ = 107581006390392.

The previous prime is 107581006390391. The next prime is 107581006390471. The reversal of 107581006390393 is 393093600185701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98805826572544 + 8775179817849 = 9940112^2 + 2962293^2 .

It is a cyclic number.

It is not a de Polignac number, because 107581006390393 - 21 = 107581006390391 is a prime.

Together with 107581006390391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (107581006390391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53790503195196 + 53790503195197.

It is an arithmetic number, because the mean of its divisors is an integer number (53790503195197).

Almost surely, 2107581006390393 is an apocalyptic number.

It is an amenable number.

107581006390393 is a deficient number, since it is larger than the sum of its proper divisors (1).

107581006390393 is an equidigital number, since it uses as much as digits as its factorization.

107581006390393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 107581006390393 in words is "one hundred seven trillion, five hundred eighty-one billion, six million, three hundred ninety thousand, three hundred ninety-three".