Search a number
-
+
112120021102203 = 3261389727722149
BaseRepresentation
bin11001011111100011111010…
…000001111010111001111011
3112200222120101001021100100200
4121133203322001322321323
5104143433300400232303
61034243120541333243
732421255433536522
oct3137437201727173
9480876331240320
10112120021102203
11327a7919a49534
12106a9740267223
134a73b461cabaa
141d988d086b4b9
15ce67744633a3
hex65f8fa07ae7b

112120021102203 has 48 divisors (see below), whose sum is σ = 165256459368000. Its totient is φ = 73231353296640.

The previous prime is 112120021102183. The next prime is 112120021102241. The reversal of 112120021102203 is 302201120021211.

112120021102203 is a `hidden beast` number, since 11 + 21 + 200 + 211 + 0 + 220 + 3 = 666.

It is not a de Polignac number, because 112120021102203 - 26 = 112120021102139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112120021100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154897773 + ... + 155619921.

It is an arithmetic number, because the mean of its divisors is an integer number (3442842903500).

Almost surely, 2112120021102203 is an apocalyptic number.

112120021102203 is a deficient number, since it is larger than the sum of its proper divisors (53136438265797).

112120021102203 is a wasteful number, since it uses less digits than its factorization.

112120021102203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723332 (or 723329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112120021102203 its reverse (302201120021211), we get a palindrome (414321141123414).

The spelling of 112120021102203 in words is "one hundred twelve trillion, one hundred twenty billion, twenty-one million, one hundred two thousand, two hundred three".

Divisors: 1 3 9 61 183 389 549 727 1167 2181 3501 6543 23729 44347 71187 133041 213561 282803 399123 722149 848409 2166447 2545227 6499341 17250983 44051089 51752949 132153267 155258847 280915961 396459801 525002323 842747883 1575006969 2528243649 4725020907 17135873621 32025141703 51407620863 96075425109 154222862589 204225903647 288226275327 612677710941 1838033132823 12457780122467 37373340367401 112120021102203