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13241610243200 = 275217243411953
BaseRepresentation
bin1100000010110000110101…
…1110011000110010000000
31201212212220120210120200102
43000230031132120302000
53213422304210240300
644055040050341532
72534450305650653
oct300541536306200
951785816716612
1013241610243200
11424580a857539
12159a39058a8a8
137508a883b071
1433ac7c4b389a
1517e6a0b670d5
hexc0b0d798c80

13241610243200 has 96 divisors (see below), whose sum is σ = 34635086934660. Its totient is φ = 4985076776960.

The previous prime is 13241610243187. The next prime is 13241610243241. The reversal of 13241610243200 is 234201614231.

It can be written as a sum of positive squares in 6 ways, for example, as 6737845381696 + 6503764861504 = 2595736^2 + 2550248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121651577 + ... + 121760376.

Almost surely, 213241610243200 is an apocalyptic number.

13241610243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13241610243200 is an abundant number, since it is smaller than the sum of its proper divisors (21393476691460).

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

13241610243200 is a wasteful number, since it uses less digits than its factorization.

13241610243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243411994 (or 243411977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13241610243200 its reverse (234201614231), we get a palindrome (13475811857431).

The spelling of 13241610243200 in words is "thirteen trillion, two hundred forty-one billion, six hundred ten million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 243411953 486823906 973647812 1217059765 1947295624 2434119530 3894591248 4138003201 4868239060 6085298825 7789182496 8276006402 9736478120 12170597650 15578364992 16552012804 19472956240 20690016005 24341195300 31156729984 33104025608 38945912480 41380032010 48682390600 66208051216 77891824960 82760064020 97364781200 103450080025 132416102432 155783649920 165520128040 194729562400 206900160050 264832204864 331040256080 389459124800 413800320100 529664409728 662080512160 778918249600 827600640200 1324161024320 1655201280400 2648322048640 3310402560800 6620805121600 13241610243200