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112100011000 = 2353433138329
BaseRepresentation
bin110100001100110101…
…1100110101111111000
3101201100102221120220021
41220121223212233320
53314040100323000
6123255324140224
711045641241335
oct1503153465770
9351312846807
10112100011000
11435a559649a
1219886097674
13a7565bca73
1455d607398c
152db166311a
hex1a19ae6bf8

112100011000 has 128 divisors (see below), whose sum is σ = 269304235200. Its totient is φ = 43652044800.

The previous prime is 112100010977. The next prime is 112100011057. The reversal of 112100011000 is 110001211.

112100011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13454836 + ... + 13463164.

Almost surely, 2112100011000 is an apocalyptic number.

112100011000 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 112100011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134652117600).

112100011000 is an abundant number, since it is smaller than the sum of its proper divisors (157204224200).

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

112100011000 is a wasteful number, since it uses less digits than its factorization.

112100011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112100011000 its reverse (110001211), we get a palindrome (112210012211).

The spelling of 112100011000 in words is "one hundred twelve billion, one hundred million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 313 344 430 500 626 860 1000 1075 1252 1565 1720 2150 2504 3130 4300 5375 6260 7825 8329 8600 10750 12520 13459 15650 16658 21500 26918 31300 33316 39125 41645 43000 53836 62600 66632 67295 78250 83290 107672 134590 156500 166580 208225 269180 313000 333160 336475 358147 416450 538360 672950 716294 832900 1041125 1345900 1432588 1665800 1682375 1790735 2082250 2606977 2691800 2865176 3364750 3581470 4164500 5213954 6729500 7162940 8329000 8953675 10427908 13034885 13459000 14325880 17907350 20855816 26069770 35814700 44768375 52139540 65174425 71629400 89536750 104279080 112100011 130348850 179073500 224200022 260697700 325872125 358147000 448400044 521395400 560500055 651744250 896800088 1121000110 1303488500 2242000220 2606977000 2802500275 4484000440 5605000550 11210001100 14012501375 22420002200 28025002750 56050005500 112100011000