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13101332020 = 2257432176301
BaseRepresentation
bin11000011001110011…
…00111011000110100
31020211001110121212021
430030321213120310
5203312420111040
610004011002524
7642443325160
oct141471473064
936731417767
1013101332020
1156133a6727
122657739444
13130a39088a
148c3dc5ca0
1551a2bb24a
hex30ce67634

13101332020 has 48 divisors (see below), whose sum is σ = 32174448768. Its totient is φ = 4387420800.

The previous prime is 13101332009. The next prime is 13101332033. The reversal of 13101332020 is 2023310131.

13101332020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13101331985 and 13101332003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1082131 + ... + 1094170.

It is an arithmetic number, because the mean of its divisors is an integer number (670301016).

Almost surely, 213101332020 is an apocalyptic number.

13101332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101332020 is an abundant number, since it is smaller than the sum of its proper divisors (19073116748).

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

13101332020 is a wasteful number, since it uses less digits than its factorization.

13101332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176360 (or 2176358 counting only the distinct ones).

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

Adding to 13101332020 its reverse (2023310131), we get a palindrome (15124642151).

The spelling of 13101332020 in words is "thirteen billion, one hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 2176301 4352602 8705204 10881505 15234107 21763010 30468214 43526020 60936428 76170535 93580943 152341070 187161886 304682140 374323772 467904715 655066601 935809430 1310133202 1871618860 2620266404 3275333005 6550666010 13101332020