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212416022513 is a prime number
BaseRepresentation
bin1100010111010011111…
…0110100011111110001
3202022021122012222110002
43011310332310133301
511440012000210023
6241325500315345
721226603254242
oct3056476643761
9668248188402
10212416022513
11820a3341732
1235201842b55
1317052715166
14a3d1074cc9
1557d34c0b28
hex3174fb47f1

212416022513 has 2 divisors, whose sum is σ = 212416022514. Its totient is φ = 212416022512.

The previous prime is 212416022491. The next prime is 212416022519. The reversal of 212416022513 is 315220614212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136743164944 + 75672857569 = 369788^2 + 275087^2 .

It is a cyclic number.

It is not a de Polignac number, because 212416022513 - 28 = 212416022257 is a prime.

It is not a weakly prime, because it can be changed into another prime (212416022519) 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, 106208011256 + 106208011257.

It is an arithmetic number, because the mean of its divisors is an integer number (106208011257).

Almost surely, 2212416022513 is an apocalyptic number.

It is an amenable number.

212416022513 is a deficient number, since it is larger than the sum of its proper divisors (1).

212416022513 is an equidigital number, since it uses as much as digits as its factorization.

212416022513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 212416022513 its reverse (315220614212), we get a palindrome (527636636725).

The spelling of 212416022513 in words is "two hundred twelve billion, four hundred sixteen million, twenty-two thousand, five hundred thirteen".