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213310122329 is a prime number
BaseRepresentation
bin1100011010101001000…
…1100010100101011001
3202101120221121221211002
43012222101202211121
511443324342403304
6241554320114345
721261011060243
oct3065221424531
9671527557732
10213310122329
11825120040a7
12354111659b5
1317165a240c5
14a477ad7093
155836c3431e
hex31aa462959

213310122329 has 2 divisors, whose sum is σ = 213310122330. Its totient is φ = 213310122328.

The previous prime is 213310122307. The next prime is 213310122343. The reversal of 213310122329 is 923221013312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167872936729 + 45437185600 = 409723^2 + 213160^2 .

It is a cyclic number.

It is not a de Polignac number, because 213310122329 - 216 = 213310056793 is a prime.

It is not a weakly prime, because it can be changed into another prime (213310122379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106655061164 + 106655061165.

It is an arithmetic number, because the mean of its divisors is an integer number (106655061165).

Almost surely, 2213310122329 is an apocalyptic number.

It is an amenable number.

213310122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213310122329 is an equidigital number, since it uses as much as digits as its factorization.

213310122329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 213310122329 in words is "two hundred thirteen billion, three hundred ten million, one hundred twenty-two thousand, three hundred twenty-nine".