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42103043120 = 2455340124763
BaseRepresentation
bin100111001101100010…
…010111010000110000
311000200020022012022102
4213031202113100300
51142211334334440
631201502155532
73020231650565
oct471542272060
9130606265272
1042103043120
1116946085506
1281b0282ba8
133c7c997588
142075a0a86c
151166450b15
hex9cd897430

42103043120 has 80 divisors (see below), whose sum is σ = 99989305632. Its totient is φ = 16481587200.

The previous prime is 42103043083. The next prime is 42103043153. The reversal of 42103043120 is 2134030124.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 42103043092 and 42103043101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687859 + ... + 1712621.

Almost surely, 242103043120 is an apocalyptic number.

42103043120 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 42103043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49994652816).

42103043120 is an abundant number, since it is smaller than the sum of its proper divisors (57886262512).

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

42103043120 is a wasteful number, since it uses less digits than its factorization.

42103043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25230 (or 25224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42103043120 its reverse (2134030124), we get a palindrome (44237073244).

The spelling of 42103043120 in words is "forty-two billion, one hundred three million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 401 424 530 802 848 1060 1604 2005 2120 3208 4010 4240 6416 8020 16040 21253 24763 32080 42506 49526 85012 99052 106265 123815 170024 198104 212530 247630 340048 396208 425060 495260 850120 990520 1312439 1700240 1981040 2624878 5249756 6562195 9929963 10499512 13124390 19859926 20999024 26248780 39719852 49649815 52497560 79439704 99299630 104995120 158879408 198599260 397198520 526288039 794397040 1052576078 2105152156 2631440195 4210304312 5262880390 8420608624 10525760780 21051521560 42103043120