Search a number
-
+
1021011111181 is a prime number
BaseRepresentation
bin11101101101110010000…
…00010010110100001101
310121121102000112110112001
432312321000102310031
5113212012321024211
62101013535312301
7133523415151645
oct16667100226415
93547360473461
101021011111181
11364010177796
12145a6667b691
13753862a0bc9
14375bab2d525
151b85b15aac1
hexedb9012d0d

1021011111181 has 2 divisors, whose sum is σ = 1021011111182. Its totient is φ = 1021011111180.

The previous prime is 1021011111149. The next prime is 1021011111223. The reversal of 1021011111181 is 1811111101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020999098025 + 12013156 = 1010445^2 + 3466^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021011111181 - 25 = 1021011111149 is a prime.

It is a super-2 number, since 2×10210111111812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021011111881) 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, 510505555590 + 510505555591.

It is an arithmetic number, because the mean of its divisors is an integer number (510505555591).

Almost surely, 21021011111181 is an apocalyptic number.

It is an amenable number.

1021011111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021011111181 is an equidigital number, since it uses as much as digits as its factorization.

1021011111181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 19.

Adding to 1021011111181 its reverse (1811111101201), we get a palindrome (2832122212382).

The spelling of 1021011111181 in words is "one trillion, twenty-one billion, eleven million, one hundred eleven thousand, one hundred eighty-one".