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213322330181 is a prime number
BaseRepresentation
bin1100011010101100000…
…0000111000001000101
3202101121210121011211202
43012223000013001011
511443341004031211
6241555433512245
721261216613532
oct3065300070105
9671553534752
10213322330181
1182518992034
1235415272685
131716840989c
14a479593d89
155837d4653b
hex31ab007045

213322330181 has 2 divisors, whose sum is σ = 213322330182. Its totient is φ = 213322330180.

The previous prime is 213322330141. The next prime is 213322330213. The reversal of 213322330181 is 181033223312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213250927681 + 71402500 = 461791^2 + 8450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213322330181 is a prime.

It is a super-3 number, since 3×2133223301813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213322330141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106661165090 + 106661165091.

It is an arithmetic number, because the mean of its divisors is an integer number (106661165091).

Almost surely, 2213322330181 is an apocalyptic number.

It is an amenable number.

213322330181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213322330181 is an equidigital number, since it uses as much as digits as its factorization.

213322330181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 213322330181 its reverse (181033223312), we get a palindrome (394355553493).

The spelling of 213322330181 in words is "two hundred thirteen billion, three hundred twenty-two million, three hundred thirty thousand, one hundred eighty-one".