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212212100141 is a prime number
BaseRepresentation
bin1100010110100011010…
…0111010110000101101
3202021202102111122112122
43011220310322300231
511434102244201031
6241253333442325
721221546042336
oct3055064726055
9667672448478
10212212100141
1181aa921a848
12351654a03a5
131701c3b6732
14a3b1d5128d
1557c063e47b
hex3168d3ac2d

212212100141 has 2 divisors, whose sum is σ = 212212100142. Its totient is φ = 212212100140.

The previous prime is 212212100063. The next prime is 212212100171. The reversal of 212212100141 is 141001212212.

212212100141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209315400100 + 2896700041 = 457510^2 + 53821^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212100141 - 226 = 212144991277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212100171) 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, 106106050070 + 106106050071.

It is an arithmetic number, because the mean of its divisors is an integer number (106106050071).

Almost surely, 2212212100141 is an apocalyptic number.

It is an amenable number.

212212100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212100141 is an equidigital number, since it uses as much as digits as its factorization.

212212100141 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 17.

Adding to 212212100141 its reverse (141001212212), we get a palindrome (353213312353).

The spelling of 212212100141 in words is "two hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred forty-one".