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213312300304 = 24157733115849
BaseRepresentation
bin1100011010101001100…
…1110110010100010000
3202101121002201121102211
43012222121312110100
511443330422102204
6241554434521504
721261035431105
oct3065231662420
9671532647384
10213312300304
1182513261484
1235411a36294
131716630754c
14a478102aac
155837014804
hex31aa676510

213312300304 has 40 divisors (see below), whose sum is σ = 416496042200. Its totient is φ = 105831318528.

The previous prime is 213312300283. The next prime is 213312300367. The reversal of 213312300304 is 403003213312.

It can be written as a sum of positive squares in 4 ways, for example, as 104509958400 + 108802341904 = 323280^2 + 329852^2 .

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 1783372 + ... + 1899220.

It is an arithmetic number, because the mean of its divisors is an integer number (10412401055).

Almost surely, 2213312300304 is an apocalyptic number.

It is an amenable number.

213312300304 is a deficient number, since it is larger than the sum of its proper divisors (203183741896).

213312300304 is a wasteful number, since it uses less digits than its factorization.

213312300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116747 (or 116741 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213312300304 its reverse (403003213312), we get a palindrome (616315513616).

The spelling of 213312300304 in words is "two hundred thirteen billion, three hundred twelve million, three hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 157 314 628 733 1256 1466 2512 2932 5864 11728 115081 115849 230162 231698 460324 463396 920648 926792 1841296 1853584 18188293 36376586 72753172 84917317 145506344 169834634 291012688 339669268 679338536 1358677072 13332018769 26664037538 53328075076 106656150152 213312300304