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13223031200 = 2552234391637
BaseRepresentation
bin11000101000010011…
…10111000110100000
31021010112110120202022
430110021313012200
5204040043444300
610024035241012
7645451624241
oct142411670640
937115416668
1013223031200
115676069065
122690449168
131329661022
148d6224cc8
15525d0a285
hex3142771a0

13223031200 has 144 divisors (see below), whose sum is σ = 33781587840. Its totient is φ = 5044638720.

The previous prime is 13223031187. The next prime is 13223031203. The reversal of 13223031200 is 213032231.

It is not an unprimeable number, because it can be changed into a prime (13223031203) 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, 8076782 + ... + 8078418.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360).

Almost surely, 213223031200 is an apocalyptic number.

13223031200 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 13223031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890793920).

13223031200 is an abundant number, since it is smaller than the sum of its proper divisors (20558556640).

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

13223031200 is a wasteful number, since it uses less digits than its factorization.

13223031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13223031200 its reverse (213032231), we get a palindrome (13436063431).

The spelling of 13223031200 in words is "thirteen billion, two hundred twenty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 439 460 575 736 800 878 920 1150 1637 1756 1840 2195 2300 3274 3512 3680 4390 4600 6548 7024 8185 8780 9200 10097 10975 13096 14048 16370 17560 18400 20194 21950 26192 32740 35120 37651 40388 40925 43900 50485 52384 65480 70240 75302 80776 81850 87800 100970 130960 150604 161552 163700 175600 188255 201940 252425 261920 301208 323104 327400 351200 376510 403880 504850 602416 654800 718643 753020 807760 941275 1009700 1204832 1309600 1437286 1506040 1615520 1882550 2019400 2874572 3012080 3593215 3765100 4038800 5749144 6024160 7186430 7530200 8077600 11498288 14372860 15060400 16528789 17966075 22996576 28745720 30120800 33057578 35932150 57491440 66115156 71864300 82643945 114982880 132230312 143728600 165287890 264460624 287457200 330575780 413219725 528921248 574914400 661151560 826439450 1322303120 1652878900 2644606240 3305757800 6611515600 13223031200