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13202112220 = 22511149487827
BaseRepresentation
bin11000100101110100…
…00011111011011100
31021002002002210022021
430102322003323130
5204014220042340
610022011025524
7645106050043
oct142272037334
937062083267
1013202112220
115665280350
12268543b2a4
13132521852b
148d353b55a
15524076e4a
hex312e83edc

13202112220 has 96 divisors (see below), whose sum is σ = 30547238400. Its totient is φ = 4753002240.

The previous prime is 13202112169. The next prime is 13202112223. The reversal of 13202112220 is 2221120231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13202112194 and 13202112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202112223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15963447 + ... + 15964273.

It is an arithmetic number, because the mean of its divisors is an integer number (318200400).

Almost surely, 213202112220 is an apocalyptic number.

13202112220 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 13202112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273619200).

13202112220 is an abundant number, since it is smaller than the sum of its proper divisors (17345126180).

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

13202112220 is a wasteful number, since it uses less digits than its factorization.

13202112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13202112220 its reverse (2221120231), we get a palindrome (15423232451).

The spelling of 13202112220 in words is "thirteen billion, two hundred two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 487 596 745 827 974 1490 1639 1654 1948 2435 2980 3278 3308 4135 4870 5357 6556 8195 8270 9097 9740 10714 16390 16540 18194 21428 26785 32780 36388 45485 53570 72563 90970 107140 123223 145126 181940 246446 290252 362815 402749 492892 616115 725630 798193 805498 1232230 1355453 1451260 1596386 1610996 2013745 2464460 2710906 3192772 3990965 4027490 4430239 5421812 6777265 7981930 8054980 8860478 13554530 15963860 17720956 22151195 27109060 44302390 60009601 88604780 120019202 240038404 300048005 600096010 660105611 1200192020 1320211222 2640422444 3300528055 6601056110 13202112220