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212032313041 is a prime number
BaseRepresentation
bin1100010101111000011…
…1000101011011010001
3202021021220012112000011
43011132013011123101
511433220233004131
6241223432154521
721214233631603
oct3053607053321
9667256175004
10212032313041
1181a1679306a
1235115238a41
1316cc1088733
14a396111173
1557ae9790b1
hex315e1c56d1

212032313041 has 2 divisors, whose sum is σ = 212032313042. Its totient is φ = 212032313040.

The previous prime is 212032312993. The next prime is 212032313057. The reversal of 212032313041 is 140313230212.

212032313041 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., 211895423041 + 136890000 = 460321^2 + 11700^2 .

It is a cyclic number.

It is not a de Polignac number, because 212032313041 - 219 = 212031788753 is a prime.

It is not a weakly prime, because it can be changed into another prime (212032310041) 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, 106016156520 + 106016156521.

It is an arithmetic number, because the mean of its divisors is an integer number (106016156521).

Almost surely, 2212032313041 is an apocalyptic number.

It is an amenable number.

212032313041 is a deficient number, since it is larger than the sum of its proper divisors (1).

212032313041 is an equidigital number, since it uses as much as digits as its factorization.

212032313041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212032313041 its reverse (140313230212), we get a palindrome (352345543253).

The spelling of 212032313041 in words is "two hundred twelve billion, thirty-two million, three hundred thirteen thousand, forty-one".