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212001409 is a prime number
BaseRepresentation
bin11001010001011…
…10001010000001
3112202220210021001
430220232022001
5413233021114
633011532001
75152660624
oct1450561201
9482823231
10212001409
11a973a884
125abba001
1334bc9b29
1420227dbb
151392a374
hexca2e281

212001409 has 2 divisors, whose sum is σ = 212001410. Its totient is φ = 212001408.

The previous prime is 212001371. The next prime is 212001457. The reversal of 212001409 is 904100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 211600 = 14553^2 + 460^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001409 - 213 = 211993217 is a prime.

It is not a weakly prime, because it can be changed into another prime (212001479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000704 + 106000705.

It is an arithmetic number, because the mean of its divisors is an integer number (106000705).

Almost surely, 2212001409 is an apocalyptic number.

It is an amenable number.

212001409 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001409 is an equidigital number, since it uses as much as digits as its factorization.

212001409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 212001409 is about 14560.2681637393. The cubic root of 212001409 is about 596.2745167603.

The spelling of 212001409 in words is "two hundred twelve million, one thousand, four hundred nine".