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213022330181 is a prime number
BaseRepresentation
bin1100011001100100011…
…1101100110101000101
3202100211220002121012122
43012121013230311011
511442232204031211
6241505555455325
721250614634133
oct3063107546505
9670756077178
10213022330181
1182384608651
12353508b7545
131711b20baab
14a44b7c0753
15581b8376db
hex31991ecd45

213022330181 has 2 divisors, whose sum is σ = 213022330182. Its totient is φ = 213022330180.

The previous prime is 213022330163. The next prime is 213022330243. The reversal of 213022330181 is 181033220312.

213022330181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212940717025 + 81613156 = 461455^2 + 9034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213022330181 is a prime.

It is a super-2 number, since 2×2130223301812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213022330181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213022330981) 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, 106511165090 + 106511165091.

It is an arithmetic number, because the mean of its divisors is an integer number (106511165091).

Almost surely, 2213022330181 is an apocalyptic number.

It is an amenable number.

213022330181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213022330181 is an equidigital number, since it uses as much as digits as its factorization.

213022330181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 213022330181 its reverse (181033220312), we get a palindrome (394055550493).

The spelling of 213022330181 in words is "two hundred thirteen billion, twenty-two million, three hundred thirty thousand, one hundred eighty-one".