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11120000257 is a prime number
BaseRepresentation
bin10100101101100110…
…11011110100000001
31001200222020112122101
422112303123310001
5140233210002012
65035232110401
7542364304552
oct122663336401
931628215571
1011120000257
114796a4a863
1221a4095401
131082a51712
14776bca329
15451394d57
hex296cdbd01

11120000257 has 2 divisors, whose sum is σ = 11120000258. Its totient is φ = 11120000256.

The previous prime is 11120000183. The next prime is 11120000267. The reversal of 11120000257 is 75200002111.

11120000257 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., 10757630961 + 362369296 = 103719^2 + 19036^2 .

It is a cyclic number.

It is not a de Polignac number, because 11120000257 - 223 = 11111611649 is a prime.

It is not a weakly prime, because it can be changed into another prime (11120000267) 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, 5560000128 + 5560000129.

It is an arithmetic number, because the mean of its divisors is an integer number (5560000129).

Almost surely, 211120000257 is an apocalyptic number.

It is an amenable number.

11120000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11120000257 is an equidigital number, since it uses as much as digits as its factorization.

11120000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 11120000257 its reverse (75200002111), we get a palindrome (86320002368).

The spelling of 11120000257 in words is "eleven billion, one hundred twenty million, two hundred fifty-seven", and thus it is an aban number.