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212414343131041 is a prime number
BaseRepresentation
bin110000010011000010010001…
…011101111010111110100001
31000212002121112210102002020021
4300103002101131322332201
5210320144033320143131
62031433445130513441
762512300303664602
oct6023022135727641
91025077483362207
10212414343131041
1161755465081157
121b9a73a5895881
13916a781a1848c
143a64ca267bda9
1519855b7bb9e11
hexc1309177afa1

212414343131041 has 2 divisors, whose sum is σ = 212414343131042. Its totient is φ = 212414343131040.

The previous prime is 212414343130937. The next prime is 212414343131057. The reversal of 212414343131041 is 140131343414212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205191901879441 + 7222441251600 = 14324521^2 + 2687460^2 .

It is a cyclic number.

It is not a de Polignac number, because 212414343131041 - 215 = 212414343098273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212414343130988 and 212414343131006.

It is not a weakly prime, because it can be changed into another prime (212414343731041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106207171565520 + 106207171565521.

It is an arithmetic number, because the mean of its divisors is an integer number (106207171565521).

Almost surely, 2212414343131041 is an apocalyptic number.

It is an amenable number.

212414343131041 is a deficient number, since it is larger than the sum of its proper divisors (1).

212414343131041 is an equidigital number, since it uses as much as digits as its factorization.

212414343131041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 212414343131041 its reverse (140131343414212), we get a palindrome (352545686545253).

The spelling of 212414343131041 in words is "two hundred twelve trillion, four hundred fourteen billion, three hundred forty-three million, one hundred thirty-one thousand, forty-one".