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212000132013337 is a prime number
BaseRepresentation
bin110000001101000000100000…
…100011111001110100011001
31000210122000101201010010121201
4300031000200203321310121
5210241402232243411322
62030515303253034201
762440334621404543
oct6015004043716431
91023560351103551
10212000132013337
1161605829764788
121b93b067325961
13913a6b0120765
143a4cc0ad68693
151979923889d27
hexc0d0208f9d19

212000132013337 has 2 divisors, whose sum is σ = 212000132013338. Its totient is φ = 212000132013336.

The previous prime is 212000132013269. The next prime is 212000132013361. The reversal of 212000132013337 is 733310231000212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210939924060441 + 1060207952896 = 14523771^2 + 1029664^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000132013337 - 227 = 211999997795609 is a prime.

It is a super-2 number, since 2×2120001320133372 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212000132013367) 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, 106000066006668 + 106000066006669.

It is an arithmetic number, because the mean of its divisors is an integer number (106000066006669).

Almost surely, 2212000132013337 is an apocalyptic number.

It is an amenable number.

212000132013337 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000132013337 is an equidigital number, since it uses as much as digits as its factorization.

212000132013337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 212000132013337 its reverse (733310231000212), we get a palindrome (945310363013549).

The spelling of 212000132013337 in words is "two hundred twelve trillion, one hundred thirty-two million, thirteen thousand, three hundred thirty-seven".