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1011112212193 is a prime number
BaseRepresentation
bin11101011011010101111…
…10111111011011100001
310120122212011000021220121
432231222332333123201
5113031224211242233
62052255403440241
7133023205666066
oct16555276773341
93518764007817
101011112212193
1135a8a0536436
12143b63526081
1374469521425
1436d1c1a6c6d
151b47c0bd92d
hexeb6afbf6e1

1011112212193 has 2 divisors, whose sum is σ = 1011112212194. Its totient is φ = 1011112212192.

The previous prime is 1011112212191. The next prime is 1011112212223. The reversal of 1011112212193 is 3912122111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 801227282769 + 209884929424 = 895113^2 + 458132^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011112212193 - 21 = 1011112212191 is a prime.

It is a super-3 number, since 3×10111122121933 (a number of 37 digits) contains 333 as substring.

Together with 1011112212191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1011112212191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505556106096 + 505556106097.

It is an arithmetic number, because the mean of its divisors is an integer number (505556106097).

Almost surely, 21011112212193 is an apocalyptic number.

It is an amenable number.

1011112212193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011112212193 is an equidigital number, since it uses as much as digits as its factorization.

1011112212193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 1011112212193 its reverse (3912122111101), we get a palindrome (4923234323294).

The spelling of 1011112212193 in words is "one trillion, eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred ninety-three".