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110221100303113 is a prime number
BaseRepresentation
bin11001000011111011011001…
…100001111100001100001001
3112110021000220222202220222101
4121003323121201330030021
5103421330303134144423
61030230512514353401
732134132421215342
oct3103733141741411
9473230828686871
10110221100303113
1132135562732428
121044170758b861
134966a60c23b97
141d30a304c50c9
15cb21852e87ad
hex643ed987c309

110221100303113 has 2 divisors, whose sum is σ = 110221100303114. Its totient is φ = 110221100303112.

The previous prime is 110221100303089. The next prime is 110221100303137. The reversal of 110221100303113 is 311303001122011.

It is a balanced prime because it is at equal distance from previous prime (110221100303089) and next prime (110221100303137).

It can be written as a sum of positive squares in only one way, i.e., 104580627302089 + 5640473001024 = 10226467^2 + 2374968^2 .

It is an emirp because it is prime and its reverse (311303001122011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110221100303113 is a prime.

It is not a weakly prime, because it can be changed into another prime (110221100103113) 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, 55110550151556 + 55110550151557.

It is an arithmetic number, because the mean of its divisors is an integer number (55110550151557).

Almost surely, 2110221100303113 is an apocalyptic number.

It is an amenable number.

110221100303113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221100303113 is an equidigital number, since it uses as much as digits as its factorization.

110221100303113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 110221100303113 its reverse (311303001122011), we get a palindrome (421524101425124).

The spelling of 110221100303113 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred million, three hundred three thousand, one hundred thirteen".