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213124404421289 is a prime number
BaseRepresentation
bin110000011101010111100100…
…011010110010001010101001
31000221121111100011222222111202
4300131113210122302022221
5210413312240012440124
62033135555540333545
762614505264243054
oct6035274432621251
91027544304888452
10213124404421289
11619a9609177059
121baa0b2b9a42b5
1391bc711781baa
143a8b3c1cdba9b
151998cc51da5ae
hexc1d5e46b22a9

213124404421289 has 2 divisors, whose sum is σ = 213124404421290. Its totient is φ = 213124404421288.

The previous prime is 213124404421283. The next prime is 213124404421321. The reversal of 213124404421289 is 982124404421312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212974474386025 + 149930035264 = 14593645^2 + 387208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213124404421289 is a prime.

It is not a weakly prime, because it can be changed into another prime (213124404421283) 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, 106562202210644 + 106562202210645.

It is an arithmetic number, because the mean of its divisors is an integer number (106562202210645).

Almost surely, 2213124404421289 is an apocalyptic number.

It is an amenable number.

213124404421289 is a deficient number, since it is larger than the sum of its proper divisors (1).

213124404421289 is an equidigital number, since it uses as much as digits as its factorization.

213124404421289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 213124404421289 in words is "two hundred thirteen trillion, one hundred twenty-four billion, four hundred four million, four hundred twenty-one thousand, two hundred eighty-nine".