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212000202041 is a prime number
BaseRepresentation
bin1100010101110000110…
…0100101110100111001
3202021012122210002222212
43011130030211310321
511433134022431131
6241220324024505
721213363661535
oct3053414456471
9667178702885
10212000202041
11819aa650651
1235106532135
1316cb7524944
14a391b52bc5
1557abc34a2b
hex315c325d39

212000202041 has 2 divisors, whose sum is σ = 212000202042. Its totient is φ = 212000202040.

The previous prime is 212000201977. The next prime is 212000202121. The reversal of 212000202041 is 140202000212.

212000202041 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., 205303234816 + 6696967225 = 453104^2 + 81835^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000202041 - 26 = 212000201977 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000702041) 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, 106000101020 + 106000101021.

It is an arithmetic number, because the mean of its divisors is an integer number (106000101021).

Almost surely, 2212000202041 is an apocalyptic number.

It is an amenable number.

212000202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000202041 is an equidigital number, since it uses as much as digits as its factorization.

212000202041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212000202041 its reverse (140202000212), we get a palindrome (352202202253).

The spelling of 212000202041 in words is "two hundred twelve billion, two hundred two thousand, forty-one".