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13143232320 = 263557123977
BaseRepresentation
bin11000011110110010…
…11100111101000000
31020220222022101021020
430033121130331000
5203404131413240
610012105025440
7643462426401
oct141731347500
936828271236
1013143232320
115635014a79
122669785280
131315c7135a
148c97b19a8
1551dce60d0
hex30f65cf40

13143232320 has 112 divisors (see below), whose sum is σ = 41804587968. Its totient is φ = 3498577920.

The previous prime is 13143232307. The next prime is 13143232331. The reversal of 13143232320 is 2323234131.

13143232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 536172 + ... + 560148.

Almost surely, 213143232320 is an apocalyptic number.

13143232320 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 13143232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902293984).

13143232320 is an abundant number, since it is smaller than the sum of its proper divisors (28661355648).

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

13143232320 is a wasteful number, since it uses less digits than its factorization.

13143232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24568 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13143232320 its reverse (2323234131), we get a palindrome (15466466451).

The spelling of 13143232320 in words is "thirteen billion, one hundred forty-three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 571 960 1142 1713 2284 2855 3426 4568 5710 6852 8565 9136 11420 13704 17130 18272 22840 23977 27408 34260 36544 45680 47954 54816 68520 71931 91360 95908 109632 119885 137040 143862 182720 191816 239770 274080 287724 359655 383632 479540 548160 575448 719310 767264 959080 1150896 1438620 1534528 1918160 2301792 2877240 3836320 4603584 5754480 7672640 11508960 13690867 23017920 27381734 41072601 54763468 68454335 82145202 109526936 136908670 164290404 205363005 219053872 273817340 328580808 410726010 438107744 547634680 657161616 821452020 876215488 1095269360 1314323232 1642904040 2190538720 2628646464 3285808080 4381077440 6571616160 13143232320