Search a number
-
+
2210133041 is a prime number
BaseRepresentation
bin1000001110111011…
…1111010000110001
312201000202101120022
42003232333100301
514011243224131
61003150453225
7105524551364
oct20356772061
95630671508
102210133041
11a34620736
12518204215
13292b6b93c
1416d7580db
15ce06e37b
hex83bbf431

2210133041 has 2 divisors, whose sum is σ = 2210133042. Its totient is φ = 2210133040.

The previous prime is 2210133011. The next prime is 2210133053. The reversal of 2210133041 is 1403310122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1912225441 + 297907600 = 43729^2 + 17260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210133041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210133011) 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, 1105066520 + 1105066521.

It is an arithmetic number, because the mean of its divisors is an integer number (1105066521).

Almost surely, 22210133041 is an apocalyptic number.

It is an amenable number.

2210133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210133041 is an equidigital number, since it uses as much as digits as its factorization.

2210133041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2210133041 is about 47012.0520824182. The cubic root of 2210133041 is about 1302.5851990201.

Adding to 2210133041 its reverse (1403310122), we get a palindrome (3613443163).

The spelling of 2210133041 in words is "two billion, two hundred ten million, one hundred thirty-three thousand, forty-one".