Search a number
-
+
13331230123000 = 2353232232599187
BaseRepresentation
bin1100000111111110101100…
…1111000110001111111000
31202012110020100102011220211
43001333223033012033320
53221404324402414000
644204141011400504
72544102211241236
oct301775317061770
952173210364824
1013331230123000
11427a8199506a9
1215b3821bb3134
1375918b98c53a
14341340b03956
15181b9895a7ba
hexc1feb3c63f8

13331230123000 has 128 divisors (see below), whose sum is σ = 32697369169920. Its totient is φ = 5077769769600.

The previous prime is 13331230122913. The next prime is 13331230123009. The reversal of 13331230123000 is 32103213331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331230123009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3829407 + ... + 6428593.

It is an arithmetic number, because the mean of its divisors is an integer number (255448196640).

Almost surely, 213331230123000 is an apocalyptic number.

13331230123000 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 13331230123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348684584960).

13331230123000 is an abundant number, since it is smaller than the sum of its proper divisors (19366139046920).

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

13331230123000 is a wasteful number, since it uses less digits than its factorization.

13331230123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599454 (or 2599440 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13331230123000 its reverse (32103213331), we get a palindrome (13363333336331).

The spelling of 13331230123000 in words is "thirteen trillion, three hundred thirty-one billion, two hundred thirty million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 223 230 250 446 460 500 575 892 920 1000 1115 1150 1784 2230 2300 2875 4460 4600 5129 5575 5750 8920 10258 11150 11500 20516 22300 23000 25645 27875 41032 44600 51290 55750 102580 111500 128225 205160 223000 256450 512900 641125 1025800 1282250 2564500 2599187 5129000 5198374 10396748 12995935 20793496 25991870 51983740 59781301 64979675 103967480 119562602 129959350 239125204 259918700 298906505 324898375 478250408 519837400 579618701 597813010 649796750 1159237402 1195626020 1299593500 1494532525 2318474804 2391252040 2599187000 2898093505 2989065050 4636949608 5796187010 5978130100 7472662625 11592374020 11956260200 13331230123 14490467525 14945325250 23184748040 26662460246 28980935050 29890650500 53324920492 57961870100 59781301000 66656150615 72452337625 106649840984 115923740200 133312301230 144904675250 266624602460 289809350500 333280753075 533249204920 579618701000 666561506150 1333123012300 1666403765375 2666246024600 3332807530750 6665615061500 13331230123000