Search a number
-
+
10011110101019 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1010010101000000011011
31022110001102110211212021022
42101223210222111000123
52303010223141213034
633143012425033055
72052164432552336
oct221534452250033
938401373755238
1010011110101019
11320a762732395
12115827862578b
13578074b221b1
1426877c89d61d
1512562a4ceb2e
hex91ae4a9501b

10011110101019 has 2 divisors, whose sum is σ = 10011110101020. Its totient is φ = 10011110101018.

The previous prime is 10011110100961. The next prime is 10011110101037. The reversal of 10011110101019 is 91010101111001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011110101019 is a prime.

It is a super-2 number, since 2×100111101010192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011110100988 and 10011110101006.

It is not a weakly prime, because it can be changed into another prime (10011110104019) 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, 5005555050509 + 5005555050510.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555050510).

Almost surely, 210011110101019 is an apocalyptic number.

10011110101019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011110101019 is an equidigital number, since it uses as much as digits as its factorization.

10011110101019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 10011110101019 in words is "ten trillion, eleven billion, one hundred ten million, one hundred one thousand, nineteen".