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11011110100097 is a prime number
BaseRepresentation
bin1010000000111011100101…
…0011100101110010000001
31102222122121012021020111012
42200032321103211302001
52420401223141200342
635230233435330305
72214345400365602
oct240167123456201
942878535236435
1011011110100097
113565870657618
12129a03a5b0995
1361b4600ba493
142a0d24d05da9
15141656c45b82
hexa03b94e5c81

11011110100097 has 2 divisors, whose sum is σ = 11011110100098. Its totient is φ = 11011110100096.

The previous prime is 11011110100019. The next prime is 11011110100121. The reversal of 11011110100097 is 79000101111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7379051706481 + 3632058393616 = 2716441^2 + 1905796^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011110100097 - 238 = 10736232193153 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011110100897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505555050048 + 5505555050049.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555050049).

Almost surely, 211011110100097 is an apocalyptic number.

It is an amenable number.

11011110100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011110100097 is an equidigital number, since it uses as much as digits as its factorization.

11011110100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 23.

The spelling of 11011110100097 in words is "eleven trillion, eleven billion, one hundred ten million, one hundred thousand, ninety-seven".