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11123201131193 is a prime number
BaseRepresentation
bin1010000111011101001001…
…1100111100001010111001
31110101100221000022121021102
42201313102130330022321
52424220303442144233
635353532243221145
72225424202416614
oct241672234741271
943340830277242
1011123201131193
1135a936106a2a8
1212b79016777b5
13628bb4884a98
142a6519abd17b
151445176d31e8
hexa1dd273c2b9

11123201131193 has 2 divisors, whose sum is σ = 11123201131194. Its totient is φ = 11123201131192.

The previous prime is 11123201131123. The next prime is 11123201131313. The reversal of 11123201131193 is 39113110232111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9869983572409 + 1253217558784 = 3141653^2 + 1119472^2 .

It is a cyclic number.

It is not a de Polignac number, because 11123201131193 - 218 = 11123200869049 is a prime.

It is a super-3 number, since 3×111232011311933 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11123201131123) 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, 5561600565596 + 5561600565597.

It is an arithmetic number, because the mean of its divisors is an integer number (5561600565597).

Almost surely, 211123201131193 is an apocalyptic number.

It is an amenable number.

11123201131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11123201131193 is an equidigital number, since it uses as much as digits as its factorization.

11123201131193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 11123201131193 in words is "eleven trillion, one hundred twenty-three billion, two hundred one million, one hundred thirty-one thousand, one hundred ninety-three".