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212202212200801 is a prime number
BaseRepresentation
bin110000001111111100101101…
…011110101001000101100001
31000211100100000000122021212021
4300033330231132221011201
5210303210112310411201
62031152203412501441
762461050431560204
oct6017745536510541
91024310000567767
10212202212200801
11616834a8761579
121b97226361a881
1391537763b1794
143a588db41993b
15197ecee760ea1
hexc0ff2d7a9161

212202212200801 has 2 divisors, whose sum is σ = 212202212200802. Its totient is φ = 212202212200800.

The previous prime is 212202212200751. The next prime is 212202212200903. The reversal of 212202212200801 is 108002212202212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198370886736400 + 13831325464401 = 14084420^2 + 3719049^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202212200801 - 243 = 203406119178593 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202212200201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101106100400 + 106101106100401.

It is an arithmetic number, because the mean of its divisors is an integer number (106101106100401).

Almost surely, 2212202212200801 is an apocalyptic number.

It is an amenable number.

212202212200801 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202212200801 is an equidigital number, since it uses as much as digits as its factorization.

212202212200801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 212202212200801 in words is "two hundred twelve trillion, two hundred two billion, two hundred twelve million, two hundred thousand, eight hundred one".