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212122331212073 is a prime number
BaseRepresentation
bin110000001110110010010100…
…001100110110100100101001
31000211001200210222110121122012
4300032302110030312210221
5210300403013242241243
62031051353110005305
762452222053431222
oct6016622414664451
91024050728417565
10212122331212073
1161652636a51417
121b95a88b646835
139149085b18849
143a54ac03c0249
15197cbc694ed18
hexc0ec94336929

212122331212073 has 2 divisors, whose sum is σ = 212122331212074. Its totient is φ = 212122331212072.

The previous prime is 212122331211953. The next prime is 212122331212139. The reversal of 212122331212073 is 370212133221212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208155872601664 + 3966458610409 = 14427608^2 + 1991597^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122331212073 - 238 = 211847453305129 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122331202073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061165606036 + 106061165606037.

It is an arithmetic number, because the mean of its divisors is an integer number (106061165606037).

Almost surely, 2212122331212073 is an apocalyptic number.

It is an amenable number.

212122331212073 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122331212073 is an equidigital number, since it uses as much as digits as its factorization.

212122331212073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 212122331212073 its reverse (370212133221212), we get a palindrome (582334464433285).

The spelling of 212122331212073 in words is "two hundred twelve trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred twelve thousand, seventy-three".