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213201221041 is a prime number
BaseRepresentation
bin1100011010001111001…
…0000111010110110001
3202101022100201012100001
43012203302013112301
511443114003033131
6241535430030001
721255216322624
oct3064362072661
9671270635301
10213201221041
1182466592a36
12353a07a8301
13171492b4b83
14a467469dbb
15582c3c2261
hex31a3c875b1

213201221041 has 2 divisors, whose sum is σ = 213201221042. Its totient is φ = 213201221040.

The previous prime is 213201220943. The next prime is 213201221053. The reversal of 213201221041 is 140122102312.

213201221041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109852473600 + 103348747441 = 331440^2 + 321479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213201221041 is a prime.

It is a super-2 number, since 2×2132012210412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213201221741) 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, 106600610520 + 106600610521.

It is an arithmetic number, because the mean of its divisors is an integer number (106600610521).

Almost surely, 2213201221041 is an apocalyptic number.

It is an amenable number.

213201221041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201221041 is an equidigital number, since it uses as much as digits as its factorization.

213201221041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 213201221041 its reverse (140122102312), we get a palindrome (353323323353).

The spelling of 213201221041 in words is "two hundred thirteen billion, two hundred one million, two hundred twenty-one thousand, forty-one".