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313001010000300 = 223527871325713723
BaseRepresentation
bin100011100101011000011101…
…0000000111111000110101100
31112001020121022112221110002010
41013022300322000333012230
5312011202032030002200
63025410402352401220
7122633401546222656
oct10712607200770654
91461217275843063
10313001010000300
1190805a8a253406
122b131838b46210
1310585b3a3bc13b
145741488a4d6d6
15262bd1ba00150
hex11cac3a03f1ac

313001010000300 has 72 divisors (see below), whose sum is σ = 906766975796416. Its totient is φ = 83360878839360.

The previous prime is 313001010000269. The next prime is 313001010000307. The reversal of 313001010000300 is 3000010100313.

It is a super-2 number, since 2×3130010100003002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (313001010000307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662620762 + ... + 663092961.

Almost surely, 2313001010000300 is an apocalyptic number.

313001010000300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313001010000300 is an abundant number, since it is smaller than the sum of its proper divisors (593765965796116).

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

313001010000300 is a wasteful number, since it uses less digits than its factorization.

313001010000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325714527 (or 1325714520 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 313001010000300 its reverse (3000010100313), we get a palindrome (316001020100613).

The spelling of 313001010000300 in words is "three hundred thirteen trillion, one billion, ten million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 787 1574 2361 3148 3935 4722 7870 9444 11805 15740 19675 23610 39350 47220 59025 78700 118050 236100 1325713723 2651427446 3977141169 5302854892 6628568615 7954282338 13257137230 15908564676 19885705845 26514274460 33142843075 39771411690 66285686150 79542823380 99428529225 132571372300 198857058450 397714116900 1043336700001 2086673400002 3130010100003 4173346800004 5216683500005 6260020200006 10433367000010 12520040400012 15650050500015 20866734000020 26083417500025 31300101000030 52166835000050 62600202000060 78250252500075 104333670000100 156500505000150 313001010000300