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13313302300 = 2252712816673
BaseRepresentation
bin11000110011000100…
…01101111100011100
31021100211022211102101
430121202031330130
5204231201133200
610041022134444
7650626126264
oct143142157434
937324284371
1013313302300
115712015081
1226b6721424
13134227948c
149042027a4
1552dbdc26a
hex31988df1c

13313302300 has 72 divisors (see below), whose sum is σ = 29405430432. Its totient is φ = 5230848000.

The previous prime is 13313302279. The next prime is 13313302307. The reversal of 13313302300 is 320331331.

13313302300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313302307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1991764 + ... + 1998436.

It is an arithmetic number, because the mean of its divisors is an integer number (408408756).

Almost surely, 213313302300 is an apocalyptic number.

13313302300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702715216).

13313302300 is an abundant number, since it is smaller than the sum of its proper divisors (16092128132).

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

13313302300 is a wasteful number, since it uses less digits than its factorization.

13313302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13313302300 its reverse (320331331), we get a palindrome (13633633631).

The spelling of 13313302300 in words is "thirteen billion, three hundred thirteen million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 281 284 355 562 710 1124 1405 1420 1775 2810 3550 5620 6673 7025 7100 13346 14050 19951 26692 28100 33365 39902 66730 79804 99755 133460 166825 199510 333650 399020 473783 498775 667300 947566 997550 1875113 1895132 1995100 2368915 3750226 4737830 7500452 9375565 9475660 11844575 18751130 23689150 37502260 46877825 47378300 93755650 133133023 187511300 266266046 532532092 665665115 1331330230 2662660460 3328325575 6656651150 13313302300