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21130024300 = 2252711322679
BaseRepresentation
bin10011101011011100…
…101001010101101100
32000112120212110011121
4103223130221111230
5321233241234200
613412413430324
71345423146250
oct235334512554
960476773147
1021130024300
118a63391000
12411849b3a4
131cb983b678
1410463dc260
1583a082e1a
hex4eb72956c

21130024300 has 144 divisors (see below), whose sum is σ = 57641310720. Its totient is φ = 6585691200.

The previous prime is 21130024291. The next prime is 21130024303. The reversal of 21130024300 is 342003112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21130024303) by changing a digit.

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, 920361 + ... + 943039.

It is an arithmetic number, because the mean of its divisors is an integer number (400286880).

Almost surely, 221130024300 is an apocalyptic number.

21130024300 is a gapful number since it is divisible by the number (20) 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 21130024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820655360).

21130024300 is an abundant number, since it is smaller than the sum of its proper divisors (36511286420).

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

21130024300 is a wasteful number, since it uses less digits than its factorization.

21130024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22733 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21130024300 its reverse (342003112), we get a palindrome (21472027412).

The spelling of 21130024300 in words is "twenty-one billion, one hundred thirty million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 140 154 175 220 242 275 308 350 385 484 550 605 700 770 847 1100 1210 1331 1540 1694 1925 2420 2662 3025 3388 3850 4235 5324 6050 6655 7700 8470 9317 12100 13310 16940 18634 21175 22679 26620 33275 37268 42350 45358 46585 66550 84700 90716 93170 113395 133100 158753 186340 226790 232925 249469 317506 453580 465850 498938 566975 635012 793765 931700 997876 1133950 1247345 1587530 1746283 2267900 2494690 2744159 3175060 3492566 3968825 4989380 5488318 6236725 6985132 7937650 8731415 10976636 12473450 13720795 15875300 17462830 19209113 24946900 27441590 30185749 34925660 38418226 43657075 54883180 60371498 68603975 76836452 87314150 96045565 120742996 137207950 150928745 174628300 192091130 211300243 274415900 301857490 384182260 422600486 480227825 603714980 754643725 845200972 960455650 1056501215 1509287450 1920911300 2113002430 3018574900 4226004860 5282506075 10565012150 21130024300