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110657201657 is a prime number
BaseRepresentation
bin110011100001110101…
…1101110010111111001
3101120121220001021120012
41213003223232113321
53303111220423112
6122500223511305
710665121460162
oct1470353562771
9346556037505
10110657201657
1142a25118482
1219542a58535
13a586702b22
1454da5ba769
152d29b64022
hex19c3aee5f9

110657201657 has 2 divisors, whose sum is σ = 110657201658. Its totient is φ = 110657201656.

The previous prime is 110657201647. The next prime is 110657201659. The reversal of 110657201657 is 756102756011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96407766016 + 14249435641 = 310496^2 + 119371^2 .

It is a cyclic number.

It is not a de Polignac number, because 110657201657 - 218 = 110656939513 is a prime.

Together with 110657201659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110657201659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55328600828 + 55328600829.

It is an arithmetic number, because the mean of its divisors is an integer number (55328600829).

Almost surely, 2110657201657 is an apocalyptic number.

It is an amenable number.

110657201657 is a deficient number, since it is larger than the sum of its proper divisors (1).

110657201657 is an equidigital number, since it uses as much as digits as its factorization.

110657201657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 41.

Adding to 110657201657 its reverse (756102756011), we get a palindrome (866759957668).

The spelling of 110657201657 in words is "one hundred ten billion, six hundred fifty-seven million, two hundred one thousand, six hundred fifty-seven".