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11742705113 is a prime number
BaseRepresentation
bin10101110111110101…
…10111010111011001
31010022100222020010012
422323322313113121
5143022113030423
65221114531305
7563665226606
oct127372672731
933270866105
1011742705113
114a864a6177
122338736b35
131151a69929
147d57a36ad
1548ad9a078
hex2bbeb75d9

11742705113 has 2 divisors, whose sum is σ = 11742705114. Its totient is φ = 11742705112.

The previous prime is 11742705101. The next prime is 11742705173. The reversal of 11742705113 is 31150724711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11733872329 + 8832784 = 108323^2 + 2972^2 .

It is an emirp because it is prime and its reverse (31150724711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11742705113 - 24 = 11742705097 is a prime.

It is a super-3 number, since 3×117427051133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11742705113.

It is not a weakly prime, because it can be changed into another prime (11742705173) 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, 5871352556 + 5871352557.

It is an arithmetic number, because the mean of its divisors is an integer number (5871352557).

Almost surely, 211742705113 is an apocalyptic number.

It is an amenable number.

11742705113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11742705113 is an equidigital number, since it uses as much as digits as its factorization.

11742705113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 11742705113 in words is "eleven billion, seven hundred forty-two million, seven hundred five thousand, one hundred thirteen".