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1018191910181 is a prime number
BaseRepresentation
bin11101101000100001111…
…01111001010100100101
310121100010112201012210012
432310100331321110211
5113140224112111211
62055430110140005
7133363513303025
oct16642075712445
93540115635705
101018191910181
113628a3875306
121453ba4b1605
13750271b0134
14373d054ba85
151b7438cbd8b
hexed10f79525

1018191910181 has 2 divisors, whose sum is σ = 1018191910182. Its totient is φ = 1018191910180.

The previous prime is 1018191910163. The next prime is 1018191910193. The reversal of 1018191910181 is 1810191918101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 979622878081 + 38569032100 = 989759^2 + 196390^2 .

It is a cyclic number.

It is not a de Polignac number, because 1018191910181 - 26 = 1018191910117 is a prime.

It is a super-2 number, since 2×10181919101812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1018191510181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509095955090 + 509095955091.

It is an arithmetic number, because the mean of its divisors is an integer number (509095955091).

Almost surely, 21018191910181 is an apocalyptic number.

It is an amenable number.

1018191910181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1018191910181 is an equidigital number, since it uses as much as digits as its factorization.

1018191910181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 41.

The spelling of 1018191910181 in words is "one trillion, eighteen billion, one hundred ninety-one million, nine hundred ten thousand, one hundred eighty-one".