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22032131130100 = 225271313118481781
BaseRepresentation
bin1010000001001110000010…
…10110011000001011110100
32220000020210002200212220101
411000213001112120023310
510341433301032130400
6114505231000443444
74432524514436050
oct500470126301364
986006702625811
1022032131130100
1170248577124a3
122579b84179584
13c3a80c5aa510
1456250a1c6c60
1528318db0356a
hex1409c15982f4

22032131130100 has 144 divisors (see below), whose sum is σ = 59291922324096. Its totient is φ = 6919578432000.

The previous prime is 22032131130077. The next prime is 22032131130131. The reversal of 22032131130100 is 103113123022.

It is a congruent number.

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, 8048791 + ... + 10432990.

It is an arithmetic number, because the mean of its divisors is an integer number (411749460584).

Almost surely, 222032131130100 is an apocalyptic number.

22032131130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22032131130100 is an abundant number, since it is smaller than the sum of its proper divisors (37259791193996).

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

22032131130100 is a wasteful number, since it uses less digits than its factorization.

22032131130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18481946 (or 18481939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22032131130100 its reverse (103113123022), we get a palindrome (22135244253122).

The spelling of 22032131130100 in words is "twenty-two trillion, thirty-two billion, one hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 131 140 175 182 260 262 325 350 364 455 524 650 655 700 910 917 1300 1310 1703 1820 1834 2275 2620 3275 3406 3668 4550 4585 6550 6812 8515 9100 9170 11921 13100 17030 18340 22925 23842 34060 42575 45850 47684 59605 85150 91700 119210 170300 238420 298025 596050 1192100 18481781 36963562 73927124 92408905 129372467 184817810 240263153 258744934 369635620 462044525 480526306 517489868 646862335 924089050 961052612 1201315765 1293724670 1681842071 1848178100 2402631530 2421113311 2587449340 3234311675 3363684142 4805263060 4842226622 6006578825 6468623350 6727368284 8409210355 9684453244 12013157650 12105566555 12937246700 16818420710 16947793177 24026315300 24211133110 31474473043 33636841420 33895586354 42046051775 48422266220 60527832775 62948946086 67791172708 84092103550 84738965885 121055665550 125897892172 157372365215 168184207100 169477931770 220321311301 242111331100 314744730430 338955863540 423694829425 440642622602 629489460860 786861826075 847389658850 881285245204 1101606556505 1573723652150 1694779317700 2203213113010 3147447304300 4406426226020 5508032782525 11016065565050 22032131130100