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112120101100 = 225271491074977
BaseRepresentation
bin110100001101011100…
…0001111100011101100
3101201101211202021100001
41220122320033203230
53314110221213400
6123301322514044
711046304064140
oct1503270174354
9351354667301
10112120101100
1143605968487
1219890965924
13a75a8051b7
1455d89c3220
152db32d0a6a
hex1a1ae0f8ec

112120101100 has 72 divisors (see below), whose sum is σ = 279924271200. Its totient is φ = 38183147520.

The previous prime is 112120101091. The next prime is 112120101101. The reversal of 112120101100 is 1101021211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112120101101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 433189 + ... + 641788.

It is an arithmetic number, because the mean of its divisors is an integer number (3887837100).

Almost surely, 2112120101100 is an apocalyptic number.

112120101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120101100 is an abundant number, since it is smaller than the sum of its proper divisors (167804170100).

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

112120101100 is a wasteful number, since it uses less digits than its factorization.

112120101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075147 (or 1075140 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112120101100 its reverse (1101021211), we get a palindrome (113221122311).

The spelling of 112120101100 in words is "one hundred twelve billion, one hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 1043 1490 2086 2980 3725 4172 5215 7450 10430 14900 20860 26075 52150 104300 1074977 2149954 4299908 5374885 7524839 10749770 15049678 21499540 26874425 30099356 37624195 53748850 75248390 107497700 150496780 160171573 188120975 320343146 376241950 640686292 752483900 800857865 1121201011 1601715730 2242402022 3203431460 4004289325 4484804044 5606005055 8008578650 11212010110 16017157300 22424020220 28030025275 56060050550 112120101100