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130021300240300 = 225271391861718051
BaseRepresentation
bin11101100100000011110001…
…011010011111111110101100
3122001100220200222011121101201
4131210003301122133332230
5114020232110330142200
61140310543304015244
736246505012566430
oct3544036132377654
9561326628147351
10130021300240300
11384797a6379007
12126babba461524
135771c57450281
1424170c90289c0
151007244550c6a
hex7640f169ffac

130021300240300 has 144 divisors (see below), whose sum is σ = 324947596744960. Its totient is φ = 44234177760000.

The previous prime is 130021300240283. The next prime is 130021300240309. The reversal of 130021300240300 is 3042003120031.

130021300240300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130021300240309) 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, 180716275 + ... + 181434325.

Almost surely, 2130021300240300 is an apocalyptic number.

130021300240300 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 130021300240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162473798372480).

130021300240300 is an abundant number, since it is smaller than the sum of its proper divisors (194926296504660).

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

130021300240300 is a wasteful number, since it uses less digits than its factorization.

130021300240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720072 (or 720065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130021300240300 its reverse (3042003120031), we get a palindrome (133063303360331).

The spelling of 130021300240300 in words is "one hundred thirty trillion, twenty-one billion, three hundred million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 973 1390 1861 1946 2780 3475 3722 3892 4865 6950 7444 9305 9730 13027 13900 18610 19460 24325 26054 37220 46525 48650 52108 65135 93050 97300 130270 186100 258679 260540 325675 517358 651350 718051 1034716 1293395 1302700 1436102 1810753 2586790 2872204 3590255 3621506 5026357 5173580 6466975 7180510 7243012 9053765 10052714 12933950 14361020 17951275 18107530 20105428 25131785 25867900 35902550 36215060 45268825 50263570 71805100 90537650 99809089 100527140 125658925 181075300 199618178 251317850 399236356 499045445 502635700 698663623 998090890 1336292911 1397327246 1996181780 2495227225 2672585822 2794654492 3493318115 4990454450 5345171644 6681464555 6986636230 9354050377 9980908900 13362929110 13973272460 17466590575 18708100754 26725858220 33407322775 34933181150 37416201508 46770251885 66814645550 69866362300 93540503770 133629291100 185744714629 187081007540 233851259425 371489429258 467702518850 742978858516 928723573145 935405037700 1300213002403 1857447146290 2600426004806 3714894292580 4643617865725 5200852009612 6501065012015 9287235731450 13002130024030 18574471462900 26004260048060 32505325060075 65010650120150 130021300240300