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212303222101 is a prime number
BaseRepresentation
bin1100010110111001000…
…0100001010101010101
3202021222202222010101001
43011232100201111111
511434244111101401
6241310350503301
721224033420125
oct3055620412525
9667882863331
10212303222101
11820456a8053
123518bb04b31
131703523c259
14a3c00b0c85
1557c863d601
hex316e421555

212303222101 has 2 divisors, whose sum is σ = 212303222102. Its totient is φ = 212303222100.

The previous prime is 212303222017. The next prime is 212303222107. The reversal of 212303222101 is 101222303212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183720247876 + 28582974225 = 428626^2 + 169065^2 .

It is a cyclic number.

It is not a de Polignac number, because 212303222101 - 27 = 212303221973 is a prime.

It is a super-2 number, since 2×2123032221012 (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 (212303222107) 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, 106151611050 + 106151611051.

It is an arithmetic number, because the mean of its divisors is an integer number (106151611051).

Almost surely, 2212303222101 is an apocalyptic number.

It is an amenable number.

212303222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212303222101 is an equidigital number, since it uses as much as digits as its factorization.

212303222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212303222101 its reverse (101222303212), we get a palindrome (313525525313).

The spelling of 212303222101 in words is "two hundred twelve billion, three hundred three million, two hundred twenty-two thousand, one hundred one".