Search a number
-
+
3000211021 is a prime number
BaseRepresentation
bin1011001011010011…
…1001011001001101
321202002102111210201
42302310321121031
522121023223041
61213412533501
7134230241623
oct26264713115
97662374721
103000211021
1112aa5a4a45
126b8921291
1338a7595c2
1420665d513
151285d6631
hexb2d3964d

3000211021 has 2 divisors, whose sum is σ = 3000211022. Its totient is φ = 3000211020.

The previous prime is 3000210989. The next prime is 3000211033. The reversal of 3000211021 is 1201120003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2807834121 + 192376900 = 52989^2 + 13870^2 .

It is an emirp because it is prime and its reverse (1201120003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3000211021 - 25 = 3000210989 is a prime.

It is a super-3 number, since 3×30002110213 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3000210989 and 3000211007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500105510 + 1500105511.

It is an arithmetic number, because the mean of its divisors is an integer number (1500105511).

Almost surely, 23000211021 is an apocalyptic number.

It is an amenable number.

3000211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000211021 is an equidigital number, since it uses as much as digits as its factorization.

3000211021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3000211021 is about 54774.1820660062. The cubic root of 3000211021 is about 1442.2833856197.

Adding to 3000211021 its reverse (1201120003), we get a palindrome (4201331024).

The spelling of 3000211021 in words is "three billion, two hundred eleven thousand, twenty-one".