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13431210243000 = 2335311407006371
BaseRepresentation
bin1100001101110011001010…
…0000111111001110111000
31202120000022010122111221020
43003130302200333032320
53230024104310234000
644322113544342440
72554241624240454
oct303346240771670
952500263574836
1013431210243000
114309165038650
12160b085174a20
1376573332b364
1434610726b664
1518459b069ba0
hexc373283f3b8

13431210243000 has 128 divisors (see below), whose sum is σ = 45714955703040. Its totient is φ = 3256050960000.

The previous prime is 13431210242999. The next prime is 13431210243007. The reversal of 13431210243000 is 34201213431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431210243007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203470186 + ... + 203536185.

It is an arithmetic number, because the mean of its divisors is an integer number (357148091430).

Almost surely, 213431210243000 is an apocalyptic number.

13431210243000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431210243000 is an abundant number, since it is smaller than the sum of its proper divisors (32283745460040).

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

13431210243000 is a wasteful number, since it uses less digits than its factorization.

13431210243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407006406 (or 407006392 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13431210243000 its reverse (34201213431), we get a palindrome (13465411456431).

The spelling of 13431210243000 in words is "thirteen trillion, four hundred thirty-one billion, two hundred ten million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 407006371 814012742 1221019113 1628025484 2035031855 2442038226 3256050968 4070063710 4477070081 4884076452 6105095565 8140127420 8954140162 9768152904 10175159275 12210191130 13431210243 16280254840 17908280324 20350318550 22385350405 24420382260 26862420486 30525477825 35816560648 40700637100 44770700810 48840764520 50875796375 53724840972 61050955650 67156051215 81401274200 89541401620 101751592750 107449681944 111926752025 122101911300 134312102430 152627389125 179082803240 203503185500 223853504050 244203822600 268624204860 305254778250 335780256075 407006371000 447707008100 537248409720 559633760125 610509556500 671560512150 895414016200 1119267520250 1221019113000 1343121024300 1678901280375 2238535040500 2686242048600 3357802560750 4477070081000 6715605121500 13431210243000