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213212101181 is a prime number
BaseRepresentation
bin1100011010010001101…
…1100111101000111101
3202101100010011222002012
43012210123213220331
511443124244214211
6241540455141005
721255410646302
oct3064433475075
9671303158065
10213212101181
1182471744392
12353a4374765
131714b624221
14a468a9d0a9
15582d320d8b
hex31a46e7a3d

213212101181 has 2 divisors, whose sum is σ = 213212101182. Its totient is φ = 213212101180.

The previous prime is 213212101163. The next prime is 213212101187. The reversal of 213212101181 is 181101212312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211940536900 + 1271564281 = 460370^2 + 35659^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213212101181 is a prime.

It is a super-2 number, since 2×2132121011812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213212101187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606050590 + 106606050591.

It is an arithmetic number, because the mean of its divisors is an integer number (106606050591).

Almost surely, 2213212101181 is an apocalyptic number.

It is an amenable number.

213212101181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212101181 is an equidigital number, since it uses as much as digits as its factorization.

213212101181 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 23.

Adding to 213212101181 its reverse (181101212312), we get a palindrome (394313313493).

The spelling of 213212101181 in words is "two hundred thirteen billion, two hundred twelve million, one hundred one thousand, one hundred eighty-one".