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13103312020 = 22517210721187
BaseRepresentation
bin11000011010000010…
…01010110010010100
31020211012012012220121
430031001022302110
5203313421441040
610004121241324
7642466212601
oct141501126224
936735165817
1013103312020
115614529297
122658333244
13130a904b86
148c437d6a8
1551a55cc4a
hex30d04ac94

13103312020 has 72 divisors (see below), whose sum is σ = 29505391776. Its totient is φ = 4886678016.

The previous prime is 13103311967. The next prime is 13103312029. The reversal of 13103312020 is 2021330131.

It is a junction number, because it is equal to n+sod(n) for n = 13103311985 and 13103312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103312029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607867 + ... + 629053.

It is an arithmetic number, because the mean of its divisors is an integer number (409797108).

Almost surely, 213103312020 is an apocalyptic number.

13103312020 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 13103312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752695888).

13103312020 is an abundant number, since it is smaller than the sum of its proper divisors (16402079756).

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

13103312020 is a wasteful number, since it uses less digits than its factorization.

13103312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337 (or 21318 counting only the distinct ones).

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

Adding to 13103312020 its reverse (2021330131), we get a palindrome (15124642151).

The spelling of 13103312020 in words is "thirteen billion, one hundred three million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 289 340 428 535 578 1070 1156 1445 1819 2140 2890 3638 5780 7276 9095 18190 21187 30923 36380 42374 61846 84748 105935 123692 154615 211870 309230 360179 423740 618460 720358 1440716 1800895 2267009 3601790 4534018 6123043 7203580 9068036 11335045 12246086 22670090 24492172 30615215 38539153 45340180 61230430 77078306 122460860 154156612 192695765 385391530 655165601 770783060 1310331202 2620662404 3275828005 6551656010 13103312020