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1121000013193 is a prime number
BaseRepresentation
bin10000010100000000110…
…011101011110110001001
310222011111102021222012011
4100110000303223312021
5121331302000410233
62214551424415521
7143663265615544
oct20240063536611
93864442258164
101121000013193
113a24603127a5
121613107775a1
138192c6c6098
143c38450185b
151e25e4020cd
hex10500cebd89

1121000013193 has 2 divisors, whose sum is σ = 1121000013194. Its totient is φ = 1121000013192.

The previous prime is 1121000013191. The next prime is 1121000013277. The reversal of 1121000013193 is 3913100001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 783796814329 + 337203198864 = 885323^2 + 580692^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121000013193 - 21 = 1121000013191 is a prime.

Together with 1121000013191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1121000013191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560500006596 + 560500006597.

It is an arithmetic number, because the mean of its divisors is an integer number (560500006597).

Almost surely, 21121000013193 is an apocalyptic number.

It is an amenable number.

1121000013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121000013193 is an equidigital number, since it uses as much as digits as its factorization.

1121000013193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 1121000013193 in words is "one trillion, one hundred twenty-one billion, thirteen thousand, one hundred ninety-three".