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11020144300 = 22521171149947
BaseRepresentation
bin10100100001101101…
…00000111010101100
31001110000100100000121
422100312200322230
5140032124104200
65021303534324
7540042452404
oct122066407254
931400310017
1011020144300
114745647580
12217675a3a4
13106815b659
14767835804
1544771ce1a
hex290da0eac

11020144300 has 144 divisors (see below), whose sum is σ = 26660793600. Its totient is φ = 3920224000.

The previous prime is 11020144297. The next prime is 11020144319. The reversal of 11020144300 is 344102011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11636427 + ... + 11637373.

It is an arithmetic number, because the mean of its divisors is an integer number (185144400).

Almost surely, 211020144300 is an apocalyptic number.

11020144300 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 11020144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330396800).

11020144300 is an abundant number, since it is smaller than the sum of its proper divisors (15640649300).

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

11020144300 is a wasteful number, since it uses less digits than its factorization.

11020144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11020144300 its reverse (344102011), we get a palindrome (11364246311).

The spelling of 11020144300 in words is "eleven billion, twenty million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 149 220 275 284 298 355 550 596 710 745 781 947 1100 1420 1490 1562 1639 1775 1894 2980 3124 3278 3550 3725 3788 3905 4735 6556 7100 7450 7810 8195 9470 10417 10579 14900 15620 16390 18940 19525 20834 21158 23675 32780 39050 40975 41668 42316 47350 52085 52895 67237 78100 81950 94700 104170 105790 116369 134474 141103 163900 208340 211580 232738 260425 264475 268948 282206 336185 465476 520850 528950 564412 581845 672370 705515 739607 1041700 1057900 1163690 1344740 1411030 1479214 1552133 1680925 2327380 2822060 2909225 2958428 3104266 3361850 3527575 3698035 5818450 6208532 6723700 7055150 7396070 7760665 10018313 11636900 14110300 14792140 15521330 18490175 20036626 31042660 36980350 38803325 40073252 50091565 73960700 77606650 100183130 110201443 155213300 200366260 220402886 250457825 440805772 500915650 551007215 1001831300 1102014430 2204028860 2755036075 5510072150 11020144300