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213312213293 is a prime number
BaseRepresentation
bin1100011010101001100…
…1100001000100101101
3202101121002120012002012
43012222121201010231
511443330411311133
6241554433011005
721261034616324
oct3065231410455
9671532505065
10213312213293
1182513202073
12354119b3a65
13171662a6a6a
14a4780bd0bb
155836ee8b48
hex31aa66112d

213312213293 has 2 divisors, whose sum is σ = 213312213294. Its totient is φ = 213312213292.

The previous prime is 213312213281. The next prime is 213312213299. The reversal of 213312213293 is 392312213312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169445843044 + 43866370249 = 411638^2 + 209443^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312213293 - 24 = 213312213277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312213299) 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, 106656106646 + 106656106647.

It is an arithmetic number, because the mean of its divisors is an integer number (106656106647).

Almost surely, 2213312213293 is an apocalyptic number.

It is an amenable number.

213312213293 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312213293 is an equidigital number, since it uses as much as digits as its factorization.

213312213293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 32.

The spelling of 213312213293 in words is "two hundred thirteen billion, three hundred twelve million, two hundred thirteen thousand, two hundred ninety-three".