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11000211022033 is a prime number
BaseRepresentation
bin1010000000010010111110…
…1010111010000011010001
31102221121110121201201010021
42200010233222322003101
52420211413010201113
635221232134303441
72213511324635032
oct240045752720321
942847417651107
1011000211022033
11356118838a992
121297ab84b7b81
1361a41406a16c
142a05ad5c6a89
15141219e8e48d
hexa012faba0d1

11000211022033 has 2 divisors, whose sum is σ = 11000211022034. Its totient is φ = 11000211022032.

The previous prime is 11000211021907. The next prime is 11000211022043. The reversal of 11000211022033 is 33022011200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8006992693569 + 2993218328464 = 2829663^2 + 1730092^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000211022033 - 29 = 11000211021521 is a prime.

It is a super-3 number, since 3×110002110220333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11000211021998 and 11000211022016.

It is not a weakly prime, because it can be changed into another prime (11000211022043) 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, 5500105511016 + 5500105511017.

It is an arithmetic number, because the mean of its divisors is an integer number (5500105511017).

Almost surely, 211000211022033 is an apocalyptic number.

It is an amenable number.

11000211022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000211022033 is an equidigital number, since it uses as much as digits as its factorization.

11000211022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11000211022033 its reverse (33022011200011), we get a palindrome (44022222222044).

The spelling of 11000211022033 in words is "eleven trillion, two hundred eleven million, twenty-two thousand, thirty-three".