Search a number
-
+
110000057 is a prime number
BaseRepresentation
bin1101000111001…
…11011110111001
321122222120201012
412203213132321
5211130000212
614525403305
72503661606
oct643473671
9248876635
10110000057
1157101742
1230a09535
1319a353bb
14108756ad
1599cc922
hex68e77b9

110000057 has 2 divisors, whose sum is σ = 110000058. Its totient is φ = 110000056.

The previous prime is 110000039. The next prime is 110000083. The reversal of 110000057 is 750000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94167616 + 15832441 = 9704^2 + 3979^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000057 - 26 = 109999993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109999996 and 110000050.

It is not a weakly prime, because it can be changed into another prime (110000017) 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, 55000028 + 55000029.

It is an arithmetic number, because the mean of its divisors is an integer number (55000029).

Almost surely, 2110000057 is an apocalyptic number.

It is an amenable number.

110000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000057 is an equidigital number, since it uses as much as digits as its factorization.

110000057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 110000057 is about 10488.0911990695. The cubic root of 110000057 is about 479.1420684672.

Adding to 110000057 its reverse (750000011), we get a palindrome (860000068).

The spelling of 110000057 in words is "one hundred ten million, fifty-seven", and thus it is an aban number.