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313011300200 = 23521818646721
BaseRepresentation
bin1001000111000001110…
…11010110011101101000
31002220221021222120011112
410203200323112131220
520112021343101300
6355443450245452
731420466103224
oct4434073263550
91086837876145
10313011300200
1111082479a765
12507b6a26888
1323694658c01
14112151ad784
15821eae3e35
hex48e0ed6768

313011300200 has 48 divisors (see below), whose sum is σ = 731772082860. Its totient is φ = 124512768000.

The previous prime is 313011300187. The next prime is 313011300247. The reversal of 313011300200 is 2003110313.

It can be written as a sum of positive squares in 6 ways, for example, as 19422881956 + 293588418244 = 139366^2 + 541838^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4287161 + ... + 4359560.

Almost surely, 2313011300200 is an apocalyptic number.

It is an amenable number.

313011300200 is an abundant number, since it is smaller than the sum of its proper divisors (418760782660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313011300200 is a wasteful number, since it uses less digits than its factorization.

313011300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646918 (or 8646909 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313011300200 its reverse (2003110313), we get a palindrome (315014410513).

The spelling of 313011300200 in words is "three hundred thirteen billion, eleven million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 4525 7240 9050 18100 36200 8646721 17293442 34586884 43233605 69173768 86467210 172934420 216168025 345868840 432336050 864672100 1565056501 1729344200 3130113002 6260226004 7825282505 12520452008 15650565010 31301130020 39126412525 62602260040 78252825050 156505650100 313011300200