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13231221013200 = 2435223994596089
BaseRepresentation
bin1100000010001010001000…
…1110100111101011010000
31201211220002112122000101010
43000202202032213223100
53213240020034410300
644050201121210520
72533631663651451
oct300424216475320
951756075560333
1013231221013200
114241369363243
121598371190a40
1374c9113104a8
1433a574791128
1517e293a21a50
hexc08a23a7ad0

13231221013200 has 120 divisors (see below), whose sum is σ = 42401687904000. Its totient is φ = 3526854087680.

The previous prime is 13231221013177. The next prime is 13231221013207. The reversal of 13231221013200 is 231012213231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231221013207) 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, 580756 + ... + 5176844.

It is an arithmetic number, because the mean of its divisors is an integer number (353347399200).

Almost surely, 213231221013200 is an apocalyptic number.

13231221013200 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 13231221013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200843952000).

13231221013200 is an abundant number, since it is smaller than the sum of its proper divisors (29170466890800).

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

13231221013200 is a wasteful number, since it uses less digits than its factorization.

13231221013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598509 (or 4598498 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13231221013200 its reverse (231012213231), we get a palindrome (13462233226431).

The spelling of 13231221013200 in words is "thirteen trillion, two hundred thirty-one billion, two hundred twenty-one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2399 4798 7197 9596 11995 14394 19192 23990 28788 35985 38384 47980 57576 59975 71970 95960 115152 119950 143940 179925 191920 239900 287880 359850 479800 575760 719700 959600 1439400 2878800 4596089 9192178 13788267 18384356 22980445 27576534 36768712 45960890 55153068 68941335 73537424 91921780 110306136 114902225 137882670 183843560 220612272 229804450 275765340 344706675 367687120 459608900 551530680 689413350 919217800 1103061360 1378826700 1838435600 2757653400 5515306800 11026017511 22052035022 33078052533 44104070044 55130087555 66156105066 88208140088 110260175110 132312210132 165390262665 176416280176 220520350220 264624420264 275650437775 330780525330 441040700440 529248840528 551300875550 661561050660 826951313325 882081400880 1102601751100 1323122101320 1653902626650 2205203502200 2646244202640 3307805253300 4410407004400 6615610506600 13231221013200