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10507444950181 is a prime number
BaseRepresentation
bin1001100011100111010010…
…0001100001010010100101
31101012111112220102121202111
42120321310201201102211
52334123221401401211
634203015323241021
72133065165301034
oct230716441412245
941174486377674
1010507444950181
113391200822803
1212184b6079171
135b2b0382b55a
142847c501471b
151334c9482421
hex98e748614a5

10507444950181 has 2 divisors, whose sum is σ = 10507444950182. Its totient is φ = 10507444950180.

The previous prime is 10507444950077. The next prime is 10507444950209. The reversal of 10507444950181 is 18105944470501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10330818077281 + 176626872900 = 3214159^2 + 420270^2 .

It is a cyclic number.

It is not a de Polignac number, because 10507444950181 - 29 = 10507444949669 is a prime.

It is a super-3 number, since 3×105074449501813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10507444980181) 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, 5253722475090 + 5253722475091.

It is an arithmetic number, because the mean of its divisors is an integer number (5253722475091).

Almost surely, 210507444950181 is an apocalyptic number.

It is an amenable number.

10507444950181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10507444950181 is an equidigital number, since it uses as much as digits as its factorization.

10507444950181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 10507444950181 in words is "ten trillion, five hundred seven billion, four hundred forty-four million, nine hundred fifty thousand, one hundred eighty-one".