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212000222153 is a prime number
BaseRepresentation
bin1100010101110000110…
…0101010101111001001
3202021012122211010120202
43011130030222233021
511433134024102103
6241220324301545
721213364104266
oct3053414525711
9667178733522
10212000222153
11819aa664775
12351065418b5
1316cb7530b45
14a391b5a26d
1557abc3a988
hex315c32abc9

212000222153 has 2 divisors, whose sum is σ = 212000222154. Its totient is φ = 212000222152.

The previous prime is 212000222101. The next prime is 212000222173. The reversal of 212000222153 is 351222000212.

212000222153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (212000222173) can be obtained adding 212000222153 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148512349129 + 63487873024 = 385373^2 + 251968^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000222153 - 230 = 210926480329 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000222173) 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, 106000111076 + 106000111077.

It is an arithmetic number, because the mean of its divisors is an integer number (106000111077).

Almost surely, 2212000222153 is an apocalyptic number.

It is an amenable number.

212000222153 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000222153 is an equidigital number, since it uses as much as digits as its factorization.

212000222153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 212000222153 its reverse (351222000212), we get a palindrome (563222222365).

The spelling of 212000222153 in words is "two hundred twelve billion, two hundred twenty-two thousand, one hundred fifty-three".