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10011110009993 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1001111110110010001001
31022110001102110200020101222
42101223210221332302021
52303010223130304433
633143012423051425
72052164432023061
oct221534451766211
938401373606358
1010011110009993
11320a76267aa64
1211582785a0b75
13578074abc931
1426877c8783a1
1512562a4b2b98
hex91ae4a7ec89

10011110009993 has 2 divisors, whose sum is σ = 10011110009994. Its totient is φ = 10011110009992.

The previous prime is 10011110009983. The next prime is 10011110010019. The reversal of 10011110009993 is 39990001111001.

10011110009993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9506664890944 + 504445119049 = 3083288^2 + 710243^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011110009993 - 240 = 8911598382217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011110009983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555004996 + 5005555004997.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555004997).

Almost surely, 210011110009993 is an apocalyptic number.

It is an amenable number.

10011110009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011110009993 is an equidigital number, since it uses as much as digits as its factorization.

10011110009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 35.

The spelling of 10011110009993 in words is "ten trillion, eleven billion, one hundred ten million, nine thousand, nine hundred ninety-three".