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12443343030 = 2325612838009
BaseRepresentation
bin10111001011010111…
…00101100010110110
31012010012100022122200
423211223211202312
5200440443434110
65414424005330
7620233446006
oct134553454266
935105308580
1012443343030
115305a40878
1224b3300846
131233c70491
14860866006
154cc6466c0
hex2e5ae58b6

12443343030 has 96 divisors (see below), whose sum is σ = 33003378720. Its totient is φ = 3251888640.

The previous prime is 12443343007. The next prime is 12443343041. The reversal of 12443343030 is 3034334421.

12443343030 is a `hidden beast` number, since 1 + 24 + 4 + 334 + 303 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12443342985 and 12443343003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549666 + ... + 1557674.

It is an arithmetic number, because the mean of its divisors is an integer number (343785195).

Almost surely, 212443343030 is an apocalyptic number.

12443343030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443343030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501689360).

12443343030 is an abundant number, since it is smaller than the sum of its proper divisors (20560035690).

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

12443343030 is a wasteful number, since it uses less digits than its factorization.

12443343030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12443343030 its reverse (3034334421), we get a palindrome (15477677451).

The spelling of 12443343030 in words is "twelve billion, four hundred forty-three million, three hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 283 305 366 549 566 610 849 915 1098 1415 1698 1830 2547 2745 2830 4245 5094 5490 8009 8490 12735 16018 17263 24027 25470 34526 40045 48054 51789 72081 80090 86315 103578 120135 144162 155367 172630 240270 258945 310734 360405 488549 517890 720810 776835 977098 1465647 1553670 2266547 2442745 2931294 4396941 4533094 4885490 6799641 7328235 8793882 11332735 13599282 14656470 20398923 21984705 22665470 33998205 40797846 43969410 67996410 101994615 138259367 203989230 276518734 414778101 691296835 829556202 1244334303 1382593670 2073890505 2488668606 4147781010 6221671515 12443343030