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1313321020 = 2251141145601
BaseRepresentation
bin100111001000111…
…1011000000111100
310101112020121202021
41032101323000330
510142202233040
6334153005524
744355021154
oct11621730074
93345217667
101313321020
11614376580
123079b38a4
1317c12033b
14c65cb764
157a47224a
hex4e47b03c

1313321020 has 48 divisors (see below), whose sum is σ = 3082103136. Its totient is φ = 465920000.

The previous prime is 1313321017. The next prime is 1313321039. The reversal of 1313321020 is 201233131.

It is a junction number, because it is equal to n+sod(n) for n = 1313320985 and 1313321003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63781 + ... + 81820.

It is an arithmetic number, because the mean of its divisors is an integer number (64210482).

Almost surely, 21313321020 is an apocalyptic number.

1313321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313321020 is an abundant number, since it is smaller than the sum of its proper divisors (1768782116).

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

1313321020 is a wasteful number, since it uses less digits than its factorization.

1313321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145662 (or 145660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1313321020 is about 36239.7712465187. The cubic root of 1313321020 is about 1095.1080340717.

Adding to 1313321020 its reverse (201233131), we get a palindrome (1514554151).

The spelling of 1313321020 in words is "one billion, three hundred thirteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 145601 291202 582404 728005 1456010 1601611 2912020 3203222 5969641 6406444 8008055 11939282 16016110 23878564 29848205 32032220 59696410 65666051 119392820 131332102 262664204 328330255 656660510 1313321020