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21212200000177 is a prime number
BaseRepresentation
bin1001101001010110110011…
…01001010101101010110001
32210002212101200121211122121
410310223121221111222301
510240020041200001202
6113040430011034241
74316350043016364
oct464533151255261
983085350554577
1021212200000177
1168390529988aa
122467096a3b981
13bab3c02ba654
14534966b860db
1526bba0b4b537
hex134ad9a55ab1

21212200000177 has 2 divisors, whose sum is σ = 21212200000178. Its totient is φ = 21212200000176.

The previous prime is 21212200000127. The next prime is 21212200000231. The reversal of 21212200000177 is 77100000221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18201110908176 + 3011089092001 = 4266276^2 + 1735249^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212200000177 - 27 = 21212200000049 is a prime.

It is not a weakly prime, because it can be changed into another prime (21212200000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606100000088 + 10606100000089.

It is an arithmetic number, because the mean of its divisors is an integer number (10606100000089).

Almost surely, 221212200000177 is an apocalyptic number.

It is an amenable number.

21212200000177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212200000177 is an equidigital number, since it uses as much as digits as its factorization.

21212200000177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 21212200000177 its reverse (77100000221212), we get a palindrome (98312200221389).

The spelling of 21212200000177 in words is "twenty-one trillion, two hundred twelve billion, two hundred million, one hundred seventy-seven", and thus it is an aban number.