Search a number
-
+
1021041181 is a prime number
BaseRepresentation
bin111100110110111…
…101101000011101
32122011021021012001
4330312331220131
54042341304211
6245152242301
734205464306
oct7466755035
92564237161
101021041181
11484395396
12245b40391
131336c64a4
14998677ad
155e98aac1
hex3cdbda1d

1021041181 has 2 divisors, whose sum is σ = 1021041182. Its totient is φ = 1021041180.

The previous prime is 1021041121. The next prime is 1021041223. The reversal of 1021041181 is 1811401201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002292281 + 18748900 = 31659^2 + 4330^2 .

It is an emirp because it is prime and its reverse (1811401201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021041181 - 27 = 1021041053 is a prime.

It is a super-2 number, since 2×10210411812 = 2085050186595749522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021041121) 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, 510520590 + 510520591.

It is an arithmetic number, because the mean of its divisors is an integer number (510520591).

Almost surely, 21021041181 is an apocalyptic number.

It is an amenable number.

1021041181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021041181 is an equidigital number, since it uses as much as digits as its factorization.

1021041181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 1021041181 is about 31953.7350086027. The cubic root of 1021041181 is about 1006.9651017261.

Adding to 1021041181 its reverse (1811401201), we get a palindrome (2832442382).

It can be divided in two parts, 102104 and 1181, that added together give a triangular number (103285 = T454).

The spelling of 1021041181 in words is "one billion, twenty-one million, forty-one thousand, one hundred eighty-one".