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1121000011993 is a prime number
BaseRepresentation
bin10000010100000000110…
…011101011100011011001
310222011111102021220112201
4100110000303223203121
5121331302000340433
62214551424410201
7143663265612211
oct20240063534331
93864442256481
101121000011993
113a2460311904
12161310776961
138192c6c5684
143c384501241
151e25e401a7d
hex10500ceb8d9

1121000011993 has 2 divisors, whose sum is σ = 1121000011994. Its totient is φ = 1121000011992.

The previous prime is 1121000011991. The next prime is 1121000012029. The reversal of 1121000011993 is 3991100001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 777735263449 + 343264748544 = 881893^2 + 585888^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121000011993 - 21 = 1121000011991 is a prime.

It is a super-2 number, since 2×11210000119932 (a number of 25 digits) contains 22 as substring.

Together with 1121000011991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1121000011991) 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, 560500005996 + 560500005997.

It is an arithmetic number, because the mean of its divisors is an integer number (560500005997).

Almost surely, 21121000011993 is an apocalyptic number.

It is an amenable number.

1121000011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121000011993 is an equidigital number, since it uses as much as digits as its factorization.

1121000011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 1121000011993 in words is "one trillion, one hundred twenty-one billion, eleven thousand, nine hundred ninety-three".