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212200104001 is a prime number
BaseRepresentation
bin1100010110100000011…
…1001010000001000001
3202021201120221011221011
43011220013022001001
511434041211312001
6241252224400521
721221342060224
oct3055007120101
9667646834834
10212200104001
1181aa2476986
1235161476141
1317019a76422
14a3b050b5bb
1557be56ed51
hex31681ca041

212200104001 has 2 divisors, whose sum is σ = 212200104002. Its totient is φ = 212200104000.

The previous prime is 212200103993. The next prime is 212200104007. The reversal of 212200104001 is 100401002212.

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., 154983942400 + 57216161601 = 393680^2 + 239199^2 .

It is a cyclic number.

It is not a de Polignac number, because 212200104001 - 23 = 212200103993 is a prime.

It is not a weakly prime, because it can be changed into another prime (212200104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100052000 + 106100052001.

It is an arithmetic number, because the mean of its divisors is an integer number (106100052001).

Almost surely, 2212200104001 is an apocalyptic number.

It is an amenable number.

212200104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212200104001 is an equidigital number, since it uses as much as digits as its factorization.

212200104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212200104001 its reverse (100401002212), we get a palindrome (312601106213).

The spelling of 212200104001 in words is "two hundred twelve billion, two hundred million, one hundred four thousand, one".