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13201012220 = 2251183898123
BaseRepresentation
bin11000100101101011…
…10111010111111100
31021002000000220101112
430102311313113330
5204013424342340
610021531301152
7645063516044
oct142265672774
937060026345
1013201012220
115664699960
122684baa7b8
131324c21946
148d3332724
15523e0b065
hex312d775fc

13201012220 has 96 divisors (see below), whose sum is σ = 30954389760. Its totient is φ = 4688668160.

The previous prime is 13201012199. The next prime is 13201012241. The reversal of 13201012220 is 2221010231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13201012199) and next prime (13201012241).

It is a junction number, because it is equal to n+sod(n) for n = 13201012195 and 13201012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621079 + ... + 1629201.

It is an arithmetic number, because the mean of its divisors is an integer number (322441560).

Almost surely, 213201012220 is an apocalyptic number.

13201012220 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 13201012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477194880).

13201012220 is an abundant number, since it is smaller than the sum of its proper divisors (17753377540).

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

13201012220 is a wasteful number, since it uses less digits than its factorization.

13201012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13201012220 its reverse (2221010231), we get a palindrome (15422022451).

The spelling of 13201012220 in words is "thirteen billion, two hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 89 110 166 178 220 332 356 415 445 830 890 913 979 1660 1780 1826 1958 3652 3916 4565 4895 7387 8123 9130 9790 14774 16246 18260 19580 29548 32492 36935 40615 73870 81230 81257 89353 147740 162460 162514 178706 325028 357412 406285 446765 674209 722947 812570 893530 1348418 1445894 1625140 1787060 2696836 2891788 3371045 3614735 6742090 7229470 7416299 7952417 13484180 14458940 14832598 15904834 29665196 31809668 37081495 39762085 60004601 74162990 79524170 120009202 148325980 159048340 240018404 300023005 600046010 660050611 1200092020 1320101222 2640202444 3300253055 6600506110 13201012220