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112105323520 = 2105178912239
BaseRepresentation
bin110100001100111111…
…1110111110000000000
3101201100210221111022021
41220121333313300000
53314042430323040
6123300034051224
711046034345621
oct1503177676000
9351323844267
10112105323520
11435a8594903
1219887a19b14
13a75772cb78
1455d6a57a48
152db1d6224a
hex1a19ff7c00

112105323520 has 88 divisors (see below), whose sum is σ = 269093707200. Its totient is φ = 44813402112.

The previous prime is 112105323493. The next prime is 112105323557. The reversal of 112105323520 is 25323501211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9153561 + ... + 9165799.

Almost surely, 2112105323520 is an apocalyptic number.

112105323520 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 112105323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134546853600).

112105323520 is an abundant number, since it is smaller than the sum of its proper divisors (156988383680).

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

112105323520 is a wasteful number, since it uses less digits than its factorization.

112105323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14053 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 112105323520 its reverse (25323501211), we get a palindrome (137428824731).

The spelling of 112105323520 in words is "one hundred twelve billion, one hundred five million, three hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1789 2560 3578 5120 7156 8945 12239 14312 17890 24478 28624 35780 48956 57248 61195 71560 97912 114496 122390 143120 195824 228992 244780 286240 391648 457984 489560 572480 783296 915968 979120 1144960 1566592 1831936 1958240 2289920 3133184 3916480 4579840 6266368 7832960 9159680 12532736 15665920 21895571 31331840 43791142 62663680 87582284 109477855 175164568 218955710 350329136 437911420 700658272 875822840 1401316544 1751645680 2802633088 3503291360 5605266176 7006582720 11210532352 14013165440 22421064704 28026330880 56052661760 112105323520