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43130123120 = 24571915725819
BaseRepresentation
bin101000001010110000…
…010111001101110000
311010022210221021012102
4220022300113031300
51201312302414440
631451432115532
73054542666120
oct501260271560
9133283837172
1043130123120
1117322914957
128438235ba8
1340b46c6616
1421321a6c80
1511c66d0b15
hexa0ac17370

43130123120 has 160 divisors (see below), whose sum is σ = 121407705600. Its totient is φ = 13919413248.

The previous prime is 43130123119. The next prime is 43130123131. The reversal of 43130123120 is 2132103134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 43130123092 and 43130123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657571 + ... + 1683389.

It is an arithmetic number, because the mean of its divisors is an integer number (758798160).

Almost surely, 243130123120 is an apocalyptic number.

43130123120 is a gapful number since it is divisible by the number (40) 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 43130123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60703852800).

43130123120 is an abundant number, since it is smaller than the sum of its proper divisors (78277582480).

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

43130123120 is a wasteful number, since it uses less digits than its factorization.

43130123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26015 (or 26009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 43130123120 its reverse (2132103134), we get a palindrome (45262226254).

The spelling of 43130123120 in words is "forty-three billion, one hundred thirty million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 157 190 266 280 304 314 380 532 560 628 665 760 785 1064 1099 1256 1330 1520 1570 2128 2198 2512 2660 2983 3140 4396 5320 5495 5966 6280 8792 10640 10990 11932 12560 14915 17584 20881 21980 23864 25819 29830 41762 43960 47728 51638 59660 83524 87920 103276 104405 119320 129095 167048 180733 206552 208810 238640 258190 334096 361466 413104 417620 490561 516380 722932 835240 903665 981122 1032760 1445864 1670480 1807330 1962244 2065520 2452805 2891728 3433927 3614660 3924488 4053583 4905610 6867854 7229320 7848976 8107166 9811220 13735708 14458640 16214332 17169635 19622440 20267915 27471416 28375081 32428664 34339270 39244880 40535830 54942832 56750162 64857328 68678540 77018077 81071660 113500324 137357080 141875405 154036154 162143320 227000648 274714160 283750810 308072308 324286640 385090385 454001296 539126539 567501620 616144616 770180770 1078253078 1135003240 1232289232 1540361540 2156506156 2270006480 2695632695 3080723080 4313012312 5391265390 6161446160 8626024624 10782530780 21565061560 43130123120