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13220203120 = 2452357112583
BaseRepresentation
bin11000100111111110…
…00100101001110000
31021010100010220100121
430103333010221300
5204033332444440
610023454500024
7645415605145
oct142377045160
937110126317
1013220203120
115674507303
12268b504614
131328bb09c7
148d5aca3cc
1552594c34a
hex313fc4a70

13220203120 has 80 divisors (see below), whose sum is σ = 32132086272. Its totient is φ = 5048904960.

The previous prime is 13220203109. The next prime is 13220203147. The reversal of 13220203120 is 2130202231.

13220203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13220203094 and 13220203103.

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, 1044349 + ... + 1056931.

Almost surely, 213220203120 is an apocalyptic number.

13220203120 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 13220203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066043136).

13220203120 is an abundant number, since it is smaller than the sum of its proper divisors (18911883152).

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

13220203120 is a wasteful number, since it uses less digits than its factorization.

13220203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13190 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13220203120 its reverse (2130202231), we get a palindrome (15350405351).

The spelling of 13220203120 in words is "thirteen billion, two hundred twenty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 571 920 1142 1840 2284 2855 4568 5710 9136 11420 12583 13133 22840 25166 26266 45680 50332 52532 62915 65665 100664 105064 125830 131330 201328 210128 251660 262660 289409 503320 525320 578818 1006640 1050640 1157636 1447045 2315272 2894090 4630544 5788180 7184893 11576360 14369786 23152720 28739572 35924465 57479144 71848930 114958288 143697860 165252539 287395720 330505078 574791440 661010156 826262695 1322020312 1652525390 2644040624 3305050780 6610101560 13220203120