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212412320093 is a prime number
BaseRepresentation
bin1100010111010011000…
…0101100100101011101
3202022021101020212200102
43011310300230211131
511440010023220333
6241325245110445
721226526634101
oct3056460544535
9668241225612
10212412320093
11820a1242a86
1235200558425
1317051a19b8c
14a3d078d901
1557d2eddae8
hex3174c2c95d

212412320093 has 2 divisors, whose sum is σ = 212412320094. Its totient is φ = 212412320092.

The previous prime is 212412320089. The next prime is 212412320119. The reversal of 212412320093 is 390023214212.

It is a happy number.

212412320093 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., 179791264324 + 32621055769 = 424018^2 + 180613^2 .

It is a cyclic number.

It is not a de Polignac number, because 212412320093 - 22 = 212412320089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212412320023) 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, 106206160046 + 106206160047.

It is an arithmetic number, because the mean of its divisors is an integer number (106206160047).

Almost surely, 2212412320093 is an apocalyptic number.

It is an amenable number.

212412320093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212412320093 is an equidigital number, since it uses as much as digits as its factorization.

212412320093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 212412320093 in words is "two hundred twelve billion, four hundred twelve million, three hundred twenty thousand, ninety-three".