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13220320020 = 22351491579419
BaseRepresentation
bin11000100111111111…
…00001001100010100
31021010100100211201020
430103333201030110
5204033400220040
610023501201140
7645416603025
oct142377411424
937110324636
1013220320020
115674587116
12268b5601b0
131328c21c8b
148d5b1ac4c
15525971cd0
hex313fe1314

13220320020 has 96 divisors (see below), whose sum is σ = 37506672000. Its totient is φ = 3479084544.

The previous prime is 13220320019. The next prime is 13220320049. The reversal of 13220320020 is 2002302231.

13220320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132203200202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 1398871 + ... + 1408289.

It is an arithmetic number, because the mean of its divisors is an integer number (390694500).

Almost surely, 213220320020 is an apocalyptic number.

13220320020 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 13220320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753336000).

13220320020 is an abundant number, since it is smaller than the sum of its proper divisors (24286351980).

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

13220320020 is a wasteful number, since it uses less digits than its factorization.

13220320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13220320020 its reverse (2002302231), we get a palindrome (15222622251).

The spelling of 13220320020 in words is "thirteen billion, two hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 157 298 314 447 471 596 628 745 785 894 942 1490 1570 1788 1884 2235 2355 2980 3140 4470 4710 8940 9419 9420 18838 23393 28257 37676 46786 47095 56514 70179 93572 94190 113028 116965 140358 141285 188380 233930 280716 282570 350895 467860 565140 701790 1403431 1403580 1478783 2806862 2957566 4210293 4436349 5613724 5915132 7017155 7393915 8420586 8872698 14034310 14787830 16841172 17745396 21051465 22181745 28068620 29575660 42102930 44363490 84205860 88726980 220338667 440677334 661016001 881354668 1101693335 1322032002 2203386670 2644064004 3305080005 4406773340 6610160010 13220320020