Search a number
-
+
24132231001300 = 22528333134925169
BaseRepresentation
bin1010111110010101110010…
…00011100111010011010100
310011110000111200010001122111
411133022321003213103110
511130340302114020200
6123154105513240404
75040332116010242
oct537127103472324
9104400450101574
1024132231001300
117764470302064
122858ba3403104
13106087624b2b6
145d6013093792
152bcb049970ba
hex15f2b90e74d4

24132231001300 has 144 divisors (see below), whose sum is σ = 53312415912000. Its totient is φ = 9480161433600.

The previous prime is 24132231001289. The next prime is 24132231001327. The reversal of 24132231001300 is 310013223142.

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, 958795116 + ... + 958820284.

It is an arithmetic number, because the mean of its divisors is an integer number (370225110500).

Almost surely, 224132231001300 is an apocalyptic number.

24132231001300 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 24132231001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656207956000).

24132231001300 is an abundant number, since it is smaller than the sum of its proper divisors (29180184910700).

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

24132231001300 is a wasteful number, since it uses less digits than its factorization.

24132231001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25946 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 24132231001300 its reverse (310013223142), we get a palindrome (24442244224442).

The spelling of 24132231001300 in words is "twenty-four trillion, one hundred thirty-two billion, two hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 331 332 349 415 662 698 830 1324 1396 1655 1660 1745 2075 3310 3490 4150 6620 6980 8275 8300 8725 16550 17450 25169 27473 28967 33100 34900 50338 54946 57934 100676 109892 115519 115868 125845 137365 144835 231038 251690 274730 289670 462076 503380 549460 577595 579340 629225 686825 724175 1155190 1258450 1373650 1448350 2089027 2310380 2516900 2747300 2887975 2896700 4178054 5775950 8330939 8356108 8783981 9588077 10445135 11551900 16661878 17567962 19176154 20890270 33323756 35135924 38352308 41654695 41780540 43919905 47940385 52225675 83309390 87839810 95880770 104451350 166618780 175679620 191761540 208273475 208902700 219599525 239701925 416546950 439199050 479403850 691467937 729070423 833093900 878398100 958807700 1382935874 1458140846 2765871748 2907497711 2916281692 3457339685 3645352115 5814995422 6914679370 7290704230 11629990844 13829358740 14537488555 14581408460 17286698425 18226760575 29074977110 34573396850 36453521150 58149954220 69146793700 72687442775 72907042300 145374885550 241322310013 290749771100 482644620026 965289240052 1206611550065 2413223100130 4826446200260 6033057750325 12066115500650 24132231001300