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13113304020 = 22325313232753
BaseRepresentation
bin11000011011001110…
…10010001111010100
31020211212222212100200
430031213102033110
5203324001212040
610005115340500
7642650150025
oct141547221724
936755885320
1013113304020
11561a133443
12265b751730
13130c9c2bbb
148c5820c4c
1551b383630
hex30d9d23d4

13113304020 has 72 divisors (see below), whose sum is σ = 39904276776. Its totient is φ = 3485693952.

The previous prime is 13113303979. The next prime is 13113304027. The reversal of 13113304020 is 2040331131.

13113304020 is a `hidden beast` number, since 1 + 311 + 330 + 4 + 0 + 20 = 666.

13113304020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 255104784 + 12858199236 = 15972^2 + 113394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13113303984 and 13113304002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113304027) 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, 60037 + ... + 172716.

Almost surely, 213113304020 is an apocalyptic number.

13113304020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113304020 is an abundant number, since it is smaller than the sum of its proper divisors (26790972756).

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

13113304020 is a wasteful number, since it uses less digits than its factorization.

13113304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233081 (or 233076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13113304020 its reverse (2040331131), we get a palindrome (15153635151).

The spelling of 13113304020 in words is "thirteen billion, one hundred thirteen million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 9390 11268 14085 18780 28170 56340 232753 465506 698259 931012 1163765 1396518 2094777 2327530 2793036 3491295 4189554 4655060 6982590 8379108 10473885 13965180 20947770 41895540 72851689 145703378 218555067 291406756 364258445 437110134 655665201 728516890 874220268 1092775335 1311330402 1457033780 2185550670 2622660804 3278326005 4371101340 6556652010 13113304020