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10948369181 is a prime number
BaseRepresentation
bin10100011001001001…
…01101101100011101
31001021000021210001212
422030210231230131
5134410240303211
65010221314205
7535211413451
oct121444555435
931230253055
1010948369181
1147090838a2
122156705965
13105631ab79
1475c0b0661
1544129138b
hex28c92db1d

10948369181 has 2 divisors, whose sum is σ = 10948369182. Its totient is φ = 10948369180.

The previous prime is 10948369177. The next prime is 10948369249. The reversal of 10948369181 is 18196384901.

10948369181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10662421081 + 285948100 = 103259^2 + 16910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10948369181 - 22 = 10948369177 is a prime.

It is a super-2 number, since 2×109483691812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10948369171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5474184590 + 5474184591.

It is an arithmetic number, because the mean of its divisors is an integer number (5474184591).

Almost surely, 210948369181 is an apocalyptic number.

It is an amenable number.

10948369181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10948369181 is an equidigital number, since it uses as much as digits as its factorization.

10948369181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 50.

The spelling of 10948369181 in words is "ten billion, nine hundred forty-eight million, three hundred sixty-nine thousand, one hundred eighty-one".