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13220302320 = 2432519992269
BaseRepresentation
bin11000100111111110…
…11100110111110000
31021010100022221102200
430103333130313300
5204033344133240
610023500543200
7645416500311
oct142377346760
937110287380
1013220302320
115674574895
12268b551b00
131328c16bc4
148d5b14608
1552596b930
hex313fdcdf0

13220302320 has 120 divisors (see below), whose sum is σ = 44621772000. Its totient is φ = 3507660288.

The previous prime is 13220302307. The next prime is 13220302327. The reversal of 13220302320 is 2320302231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13220302293 and 13220302302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220302327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97146 + ... + 189414.

It is an arithmetic number, because the mean of its divisors is an integer number (371848100).

Almost surely, 213220302320 is an apocalyptic number.

13220302320 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 13220302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310886000).

13220302320 is an abundant number, since it is smaller than the sum of its proper divisors (31401469680).

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

13220302320 is a wasteful number, since it uses less digits than its factorization.

13220302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92487 (or 92478 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220302320 its reverse (2320302231), we get a palindrome (15540604551).

The spelling of 13220302320 in words is "thirteen billion, two hundred twenty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 7164 7960 8955 9552 11940 14328 15920 17910 23880 28656 35820 47760 71640 92269 143280 184538 276807 369076 461345 553614 738152 830421 922690 1107228 1384035 1476304 1660842 1845380 2214456 2768070 3321684 3690760 4152105 4428912 5536140 6643368 7381520 8304210 11072280 13286736 16608420 18361531 22144560 33216840 36723062 55084593 66433680 73446124 91807655 110169186 146892248 165253779 183615310 220338372 275422965 293784496 330507558 367230620 440676744 550845930 661015116 734461240 826268895 881353488 1101691860 1322030232 1468922480 1652537790 2203383720 2644060464 3305075580 4406767440 6610151160 13220302320