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213058321 = 7237117517
BaseRepresentation
bin11001011001100…
…00001100010001
3112211220111001221
430230300030101
5414020331241
633050325041
75164652200
oct1454601421
9484814057
10213058321
11aa2a1963
125b429781
13351a9c18
1420421237
1513a885d1
hexcb30311

213058321 has 12 divisors (see below), whose sum is σ = 254543988. Its totient is φ = 177684192.

The previous prime is 213058301. The next prime is 213058327. The reversal of 213058321 is 123850312.

It can be written as a sum of positive squares in 2 ways, for example, as 114254721 + 98803600 = 10689^2 + 9940^2 .

It is not a de Polignac number, because 213058321 - 25 = 213058289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213058327) 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 in 11 ways as a sum of consecutive naturals, for example, 56946 + ... + 60571.

It is an arithmetic number, because the mean of its divisors is an integer number (21211999).

Almost surely, 2213058321 is an apocalyptic number.

It is an amenable number.

213058321 is a deficient number, since it is larger than the sum of its proper divisors (41485667).

213058321 is a wasteful number, since it uses less digits than its factorization.

213058321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117568 (or 117561 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 213058321 is about 14596.5174271125. The cubic root of 213058321 is about 597.2637638026.

The spelling of 213058321 in words is "two hundred thirteen million, fifty-eight thousand, three hundred twenty-one".

Divisors: 1 7 37 49 259 1813 117517 822619 4348129 5758333 30436903 213058321