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112440323320 = 235134315433259
BaseRepresentation
bin110100010110111110…
…1110010110011111000
3101202020011022020122021
41220231331302303320
53320234210321240
6123353202204224
711060242656463
oct1505575626370
9352204266567
10112440323320
114375a6a4146
1219960053674
13a7abc635c0
14562933c2da
152dd148654a
hex1a2df72cf8

112440323320 has 128 divisors (see below), whose sum is σ = 279053913600. Its totient is φ = 40512213504.

The previous prime is 112440323299. The next prime is 112440323321. The reversal of 112440323320 is 23323044211.

It is a super-3 number, since 3×1124403233203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112440323321) 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, 34499851 + ... + 34503109.

It is an arithmetic number, because the mean of its divisors is an integer number (2180108700).

Almost surely, 2112440323320 is an apocalyptic number.

112440323320 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 112440323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139526956800).

112440323320 is an abundant number, since it is smaller than the sum of its proper divisors (166613590280).

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

112440323320 is a wasteful number, since it uses less digits than its factorization.

112440323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 112440323320 its reverse (23323044211), we get a palindrome (135763367531).

The spelling of 112440323320 in words is "one hundred twelve billion, four hundred forty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1543 1720 2236 2795 3086 3259 4472 5590 6172 6518 7715 11180 12344 13036 15430 16295 20059 22360 26072 30860 32590 40118 42367 61720 65180 66349 80236 84734 100295 130360 132698 140137 160472 169468 200590 211835 265396 280274 331745 338936 401180 423670 530792 560548 663490 700685 802360 847340 862537 1121096 1326980 1401370 1694680 1725074 1821781 2653960 2802740 3450148 3643562 4312685 5028637 5605480 6900296 7287124 8625370 9108905 10057274 14574248 17250740 18217810 20114548 25143185 34501480 36435620 40229096 50286370 65372281 72871240 100572740 130744562 201145480 216231391 261489124 326861405 432462782 522978248 653722810 864925564 1081156955 1307445620 1729851128 2162313910 2614891240 2811008083 4324627820 5622016166 8649255640 11244032332 14055040415 22488064664 28110080830 56220161660 112440323320