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1020043142300 = 2252713728315391
BaseRepresentation
bin11101101011111110100…
…11110010010010011100
310121111220120010112211202
432311333103302102130
5113203022021023200
62100333520335032
7133460422436150
oct16657723622234
93544816115752
101020043142300
11363663841406
12145836474478
137526089a360
143752835d060
151b8011a51d5
hexed7f4f249c

1020043142300 has 144 divisors (see below), whose sum is σ = 2724850931712. Its totient is φ = 322761542400.

The previous prime is 1020043142299. The next prime is 1020043142309. The reversal of 1020043142300 is 32413400201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020043142309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66267605 + ... + 66282995.

Almost surely, 21020043142300 is an apocalyptic number.

1020043142300 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 1020043142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362425465856).

1020043142300 is an abundant number, since it is smaller than the sum of its proper divisors (1704807789412).

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

1020043142300 is a wasteful number, since it uses less digits than its factorization.

1020043142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22708 (or 22701 counting only the distinct ones).

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

Adding to 1020043142300 its reverse (32413400201), we get a palindrome (1052456542501).

The spelling of 1020043142300 in words is "one trillion, twenty billion, forty-three million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 7283 9100 14566 15391 29132 30782 36415 50981 61564 72830 76955 94679 101962 107737 145660 153910 182075 189358 200083 203924 215474 254905 307820 364150 378716 384775 400166 430948 473395 509810 538685 662753 728300 769550 800332 946790 1000415 1019620 1077370 1274525 1325506 1400581 1539100 1893580 2000830 2154740 2366975 2549050 2651012 2693425 2801162 3313765 4001660 4733950 5002075 5098100 5386850 5602324 6627530 7002905 9467900 10004150 10773700 13255060 14005810 16568825 20008300 28011620 33137650 35014525 66275300 70029050 112092653 140058100 224185306 448370612 560463265 784648571 1120926530 1457204489 1569297142 2241853060 2802316325 2914408978 3138594284 3923242855 5604632650 5828817956 7286022445 7846485710 10200431423 11209265300 14572044890 15692971420 19616214275 20400862846 29144089780 36430112225 39232428550 40801725692 51002157115 72860224450 78464857100 102004314230 145720448900 204008628460 255010785575 510021571150 1020043142300