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110122202210093 is a prime number
BaseRepresentation
bin11001000010011111010010…
…101111101001111100101101
3112102220120122121120020221022
4121002133102233221330231
5103413220232231210333
61030113235153143525
732124031554254543
oct3102372257517455
9472816577506838
10110122202210093
11320a76222a4357
121042650685aba5
13495a62c7b2108
141d29d2b93bd93
15cae7e7bbec98
hex6427d2be9f2d

110122202210093 has 2 divisors, whose sum is σ = 110122202210094. Its totient is φ = 110122202210092.

The previous prime is 110122202209973. The next prime is 110122202210173. The reversal of 110122202210093 is 390012202221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94057352632489 + 16064849577604 = 9698317^2 + 4008098^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122202210093 - 214 = 110122202193709 is a prime.

It is a super-3 number, since 3×1101222022100933 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110122202210593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061101105046 + 55061101105047.

It is an arithmetic number, because the mean of its divisors is an integer number (55061101105047).

Almost surely, 2110122202210093 is an apocalyptic number.

It is an amenable number.

110122202210093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122202210093 is an equidigital number, since it uses as much as digits as its factorization.

110122202210093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 110122202210093 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred two million, two hundred ten thousand, ninety-three".