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112443433400 = 23526779106219
BaseRepresentation
bin110100010111000100…
…1101010000110111000
3101202020101011020212102
41220232021222012320
53320241004332100
6123353353002532
711060311261664
oct1505611520670
9352211136772
10112443433400
1143761428861
12199610b3448
13a7ac7b209c
14562990b8a4
152dd189ccd5
hex1a2e26a1b8

112443433400 has 96 divisors (see below), whose sum is σ = 268694112000. Its totient is φ = 43744821120.

The previous prime is 112443433397. The next prime is 112443433411. The reversal of 112443433400 is 4334344211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1005491 + ... + 1111709.

It is an arithmetic number, because the mean of its divisors is an integer number (2798897000).

Almost surely, 2112443433400 is an apocalyptic number.

112443433400 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 112443433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134347056000).

112443433400 is an abundant number, since it is smaller than the sum of its proper divisors (156250678600).

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

112443433400 is a wasteful number, since it uses less digits than its factorization.

112443433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106381 (or 106372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 112443433400 its reverse (4334344211), we get a palindrome (116777777611).

The spelling of 112443433400 in words is "one hundred twelve billion, four hundred forty-three million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 79 100 134 158 200 268 316 335 395 536 632 670 790 1340 1580 1675 1975 2680 3160 3350 3950 5293 6700 7900 10586 13400 15800 21172 26465 42344 52930 105860 106219 132325 211720 212438 264650 424876 529300 531095 849752 1058600 1062190 2124380 2655475 4248760 5310950 7116673 8391301 10621900 14233346 16782602 21243800 28466692 33565204 35583365 41956505 56933384 67130408 71166730 83913010 142333460 167826020 177916825 209782525 284666920 335652040 355833650 419565050 562217167 711667300 839130100 1124434334 1423334600 1678260200 2248868668 2811085835 4497737336 5622171670 11244343340 14055429175 22488686680 28110858350 56221716700 112443433400