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2185313033 is a prime number
BaseRepresentation
bin1000001001000001…
…0011101100001001
312122022001101220202
42002100103230021
513433420004113
61000502501545
7105103566011
oct20220235411
95568041822
102185313033
11a21609032
1250ba348b5
1328a98b647
1416a336c41
15cbcba258
hex82413b09

2185313033 has 2 divisors, whose sum is σ = 2185313034. Its totient is φ = 2185313032.

The previous prime is 2185313017. The next prime is 2185313041. The reversal of 2185313033 is 3303135812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2174077129 + 11235904 = 46627^2 + 3352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2185313033 - 24 = 2185313017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2185312987 and 2185313005.

It is not a weakly prime, because it can be changed into another prime (2185318033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1092656516 + 1092656517.

It is an arithmetic number, because the mean of its divisors is an integer number (1092656517).

Almost surely, 22185313033 is an apocalyptic number.

It is an amenable number.

2185313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2185313033 is an equidigital number, since it uses as much as digits as its factorization.

2185313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2185313033 is about 46747.3318276027. The cubic root of 2185313033 is about 1297.6907788075.

Adding to 2185313033 its reverse (3303135812), we get a palindrome (5488448845).

The spelling of 2185313033 in words is "two billion, one hundred eighty-five million, three hundred thirteen thousand, thirty-three".