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11121020957 is a prime number
BaseRepresentation
bin10100101101101110…
…10101000000011101
31001201001011101210002
422112313111000131
5140233440132312
65035310024045
7542406055424
oct122667250035
931631141702
1011121020957
114797587712
1221a44a8025
13108301b197
14776db42bb
154514e74c2
hex296dd501d

11121020957 has 2 divisors, whose sum is σ = 11121020958. Its totient is φ = 11121020956.

The previous prime is 11121020839. The next prime is 11121020971. The reversal of 11121020957 is 75902012111.

It is a happy number.

11121020957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6871415236 + 4249605721 = 82894^2 + 65189^2 .

It is an emirp because it is prime and its reverse (75902012111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11121020957 - 210 = 11121019933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11121020987) 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, 5560510478 + 5560510479.

It is an arithmetic number, because the mean of its divisors is an integer number (5560510479).

Almost surely, 211121020957 is an apocalyptic number.

It is an amenable number.

11121020957 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121020957 is an equidigital number, since it uses as much as digits as its factorization.

11121020957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 29.

The spelling of 11121020957 in words is "eleven billion, one hundred twenty-one million, twenty thousand, nine hundred fifty-seven".