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213487430209 = 232200892
BaseRepresentation
bin1100011011010011010…
…1111010101001000001
3202102001022021010111121
43012310311322221001
511444210240231314
6242024052312241
721265263133654
oct3066465725101
9672038233447
10213487430209
11825a30a8139
1235460612681
1317193694801
14a49348d89b
1558475a9d24
hex31b4d7aa41

213487430209 has 9 divisors (see below), whose sum is σ = 223184170083. Its totient is φ = 204195202992.

The previous prime is 213487430161. The next prime is 213487430231. The reversal of 213487430209 is 902034784312.

The square root of 213487430209 is 462047.

It is a perfect power (a square), and thus also a powerful number.

213487430209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28105516609 + 185381913600 = 167647^2 + 430560^2 .

It is not a de Polignac number, because 213487430209 - 27 = 213487430081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213487430509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10617037 + ... + 10637125.

Almost surely, 2213487430209 is an apocalyptic number.

213487430209 is the 462047-th square number.

213487430209 is the 231024-th centered octagonal number.

It is an amenable number.

213487430209 is a deficient number, since it is larger than the sum of its proper divisors (9696739874).

213487430209 is an frugal number, since it uses more digits than its factorization.

213487430209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224 (or 20112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 213487430209 in words is "two hundred thirteen billion, four hundred eighty-seven million, four hundred thirty thousand, two hundred nine".

Divisors: 1 23 529 20089 462047 10627081 403567921 9282062183 213487430209