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213120332329 = 1750092502793
BaseRepresentation
bin1100011001111011110…
…1100011001000101001
3202101002201111121212211
43012132331203020221
511442432301113304
6241523420205121
721253214635522
oct3063675431051
9671081447784
10213120332329
1182424965063
12353796997a1
1317135603128
14a45a811849
155825245204
hex319ef63229

213120332329 has 8 divisors (see below), whose sum is σ = 225701962920. Its totient is φ = 200543717376.

The previous prime is 213120332309. The next prime is 213120332351. The reversal of 213120332329 is 923233021312.

It can be written as a sum of positive squares in 4 ways, for example, as 25107036304 + 188013296025 = 158452^2 + 433605^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213120332329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213120332329.

It is not an unprimeable number, because it can be changed into a prime (213120332309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166244 + ... + 1336549.

It is an arithmetic number, because the mean of its divisors is an integer number (28212745365).

Almost surely, 2213120332329 is an apocalyptic number.

It is an amenable number.

213120332329 is a deficient number, since it is larger than the sum of its proper divisors (12581630591).

213120332329 is a wasteful number, since it uses less digits than its factorization.

213120332329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507819.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 213120332329 in words is "two hundred thirteen billion, one hundred twenty million, three hundred thirty-two thousand, three hundred twenty-nine".

Divisors: 1 17 5009 85153 2502793 42547481 12536490137 213120332329