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13330220020 = 22513157326561
BaseRepresentation
bin11000110101000101…
…10000001111110100
31021102000011100011121
430122202300033310
5204300014020040
610042424513324
7651223000135
oct143242601764
937360140147
1013330220020
11572061a667
12270031b844
131345920970
14906567c8c
1553042ec4a
hex31a8b03f4

13330220020 has 48 divisors (see below), whose sum is σ = 30338916048. Its totient is φ = 4890562560.

The previous prime is 13330219993. The next prime is 13330220021. The reversal of 13330220020 is 2002203331.

It can be written as a sum of positive squares in 8 ways, for example, as 1100514276 + 12229705744 = 33174^2 + 110588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13330219976 and 13330220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330220021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122461 + ... + 204100.

It is an arithmetic number, because the mean of its divisors is an integer number (632060751).

Almost surely, 213330220020 is an apocalyptic number.

13330220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330220020 is an abundant number, since it is smaller than the sum of its proper divisors (17008696028).

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

13330220020 is a wasteful number, since it uses less digits than its factorization.

13330220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326740 (or 326738 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13330220020 its reverse (2002203331), we get a palindrome (15332423351).

The spelling of 13330220020 in words is "thirteen billion, three hundred thirty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 40820 326561 653122 1306244 1632805 3265610 4245293 6531220 8490586 16981172 21226465 42452930 51270077 84905860 102540154 205080308 256350385 512700770 666511001 1025401540 1333022002 2666044004 3332555005 6665110010 13330220020