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10011112012093 is a prime number
BaseRepresentation
bin1001000110101110010011…
…0001100111100100111101
31022110001102121102221202211
42101223210301213210331
52303010224133341333
633143012534020421
72052164455032103
oct221534461474475
938401377387684
1010011112012093
11320a763818195
1211582791a7711
13578075340cca
1426877cc39c73
1512562a75aecd
hex91ae4c6793d

10011112012093 has 2 divisors, whose sum is σ = 10011112012094. Its totient is φ = 10011112012092.

The previous prime is 10011112012081. The next prime is 10011112012127. The reversal of 10011112012093 is 39021021111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6084520089124 + 3926591922969 = 2466682^2 + 1981563^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112012093 - 25 = 10011112012061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112012193) 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, 5005556006046 + 5005556006047.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556006047).

Almost surely, 210011112012093 is an apocalyptic number.

It is an amenable number.

10011112012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112012093 is an equidigital number, since it uses as much as digits as its factorization.

10011112012093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 10011112012093 its reverse (39021021111001), we get a palindrome (49032133123094).

The spelling of 10011112012093 in words is "ten trillion, eleven billion, one hundred twelve million, twelve thousand, ninety-three".