Search a number
-
+
112324454000 = 24531147108631
BaseRepresentation
bin110100010011100001…
…1110010011001110000
3101201221002021110210222
41220213003302121300
53320020030012000
6123333502512212
711054335051163
oct1504703623160
9351832243728
10112324454000
1143700253880
1219929295668
13a790c54885
145617bb9ada
152dc61e9a85
hex1a270f2670

112324454000 has 160 divisors (see below), whose sum is σ = 302598346752. Its totient is φ = 39975840000.

The previous prime is 112324453987. The next prime is 112324454003. The reversal of 112324454000 is 454423211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112324454003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979685 + ... + 1088315.

Almost surely, 2112324454000 is an apocalyptic number.

112324454000 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 112324454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151299173376).

112324454000 is an abundant number, since it is smaller than the sum of its proper divisors (190273892752).

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

112324454000 is a wasteful number, since it uses less digits than its factorization.

112324454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108712 (or 108696 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 112324454000 its reverse (454423211), we get a palindrome (112778877211).

The spelling of 112324454000 in words is "one hundred twelve billion, three hundred twenty-four million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 752 880 940 1000 1034 1100 1175 1375 1880 2000 2068 2200 2350 2585 2750 3760 4136 4400 4700 5170 5500 5875 8272 9400 10340 11000 11750 12925 18800 20680 22000 23500 25850 41360 47000 51700 64625 94000 103400 108631 129250 206800 217262 258500 434524 517000 543155 869048 1034000 1086310 1194941 1738096 2172620 2389882 2715775 4345240 4779764 5105657 5431550 5974705 8690480 9559528 10211314 10863100 11949410 13578875 19119056 20422628 21726200 23898820 25528285 27157750 29873525 40845256 43452400 47797640 51056570 54315500 56162227 59747050 81690512 95595280 102113140 108631000 112324454 119494100 127641425 149367625 204226280 217262000 224648908 238988200 255282850 280811135 298735250 408452560 449297816 477976400 510565700 561622270 597470500 638207125 898595632 1021131400 1123244540 1194941000 1276414250 1404055675 2042262800 2246489080 2389882000 2552828500 2808111350 4492978160 5105657000 5616222700 7020278375 10211314000 11232445400 14040556750 22464890800 28081113500 56162227000 112324454000