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10768441181 is a prime number
BaseRepresentation
bin10100000011101100…
…10101111101011101
31000210110201111020212
422001312111331131
5134023210104211
64540313022205
7530565145151
oct120166257535
930713644225
1010768441181
114626560273
1221063b4965
131027c709b4
14742235061
1543059e38b
hex281d95f5d

10768441181 has 2 divisors, whose sum is σ = 10768441182. Its totient is φ = 10768441180.

The previous prime is 10768441141. The next prime is 10768441183. The reversal of 10768441181 is 18114486701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10334552281 + 433888900 = 101659^2 + 20830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10768441181 is a prime.

It is a super-2 number, since 2×107684411812 (a number of 21 digits) contains 22 as substring.

Together with 10768441183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10768441183) 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, 5384220590 + 5384220591.

It is an arithmetic number, because the mean of its divisors is an integer number (5384220591).

Almost surely, 210768441181 is an apocalyptic number.

It is an amenable number.

10768441181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10768441181 is an equidigital number, since it uses as much as digits as its factorization.

10768441181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 10768441181 in words is "ten billion, seven hundred sixty-eight million, four hundred forty-one thousand, one hundred eighty-one".