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112441123312 = 2478946124469
BaseRepresentation
bin110100010111000000…
…0110110000111110000
3101202020012210220000121
41220232000312013300
53320234411421222
6123353231300024
711060252531020
oct1505600660760
9352205726017
10112441123312
11437600a01a1
121996037a614
13a7ac18377b
1456294a9a80
152dd15935c7
hex1a2e0361f0

112441123312 has 80 divisors (see below), whose sum is σ = 252330724800. Its totient is φ = 47542302720.

The previous prime is 112441123297. The next prime is 112441123363. The reversal of 112441123312 is 213321144211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4583014 + ... + 4607482.

It is an arithmetic number, because the mean of its divisors is an integer number (3154134060).

Almost surely, 2112441123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112441123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126165362400).

112441123312 is an abundant number, since it is smaller than the sum of its proper divisors (139889601488).

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

112441123312 is a wasteful number, since it uses less digits than its factorization.

112441123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25034 (or 25028 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 112441123312 its reverse (213321144211), we get a palindrome (325762267523).

The spelling of 112441123312 in words is "one hundred twelve billion, four hundred forty-one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 461 623 712 922 1246 1424 1844 2492 3227 3688 4984 6454 7376 9968 12908 24469 25816 41029 48938 51632 82058 97876 164116 171283 195752 287203 328232 342566 391504 574406 656464 685132 1148812 1370264 2177741 2297624 2740528 4355482 4595248 8710964 11280209 15244187 17421928 22560418 30488374 34843856 45120836 60976748 78961463 90241672 121953496 157922926 180483344 243906992 315845852 631691704 1003938601 1263383408 2007877202 4015754404 7027570207 8031508808 14055140414 16063017616 28110280828 56220561656 112441123312