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10311011101 is a prime number
BaseRepresentation
bin10011001101001010…
…11000101100011101
3222121120222122011001
421212211120230131
5132104104323401
64423052430301
7513342101566
oct114645305435
928546878131
1010311011101
11441132a286
121bb9178391
13c84272101
146db5a116d
15405344601
hex266958b1d

10311011101 has 2 divisors, whose sum is σ = 10311011102. Its totient is φ = 10311011100.

The previous prime is 10311011099. The next prime is 10311011171. The reversal of 10311011101 is 10111011301.

10311011101 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., 7381387225 + 2929623876 = 85915^2 + 54126^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311011101 - 21 = 10311011099 is a prime.

Together with 10311011099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10311011171) 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, 5155505550 + 5155505551.

It is an arithmetic number, because the mean of its divisors is an integer number (5155505551).

Almost surely, 210311011101 is an apocalyptic number.

It is an amenable number.

10311011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311011101 is an equidigital number, since it uses as much as digits as its factorization.

10311011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10311011101 its reverse (10111011301), we get a palindrome (20422022402).

The spelling of 10311011101 in words is "ten billion, three hundred eleven million, eleven thousand, one hundred one".