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112041121240 = 23573311123377
BaseRepresentation
bin110100001011000101…
…0111101010111011000
3101201012100010200100001
41220112022331113120
53313430011334430
6123245422022344
711044324550146
oct1502612752730
9351170120301
10112041121240
1143575323774
121986a4179b4
13a747341259
1455cc304596
152dab3ce3ca
hex1a162bd5d8

112041121240 has 64 divisors (see below), whose sum is σ = 256369613760. Its totient is φ = 44060037120.

The previous prime is 112041121217. The next prime is 112041121301. The reversal of 112041121240 is 42121140211.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846432 + ... + 969808.

It is an arithmetic number, because the mean of its divisors is an integer number (4005775215).

Almost surely, 2112041121240 is an apocalyptic number.

112041121240 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 112041121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128184806880).

112041121240 is an abundant number, since it is smaller than the sum of its proper divisors (144328492520).

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

112041121240 is a wasteful number, since it uses less digits than its factorization.

112041121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123772 (or 123768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112041121240 its reverse (42121140211), we get a palindrome (154162261451).

The spelling of 112041121240 in words is "one hundred twelve billion, forty-one million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 311 365 584 622 730 1244 1460 1555 2488 2920 3110 6220 12440 22703 45406 90812 113515 123377 181624 227030 246754 454060 493508 616885 908120 987016 1233770 2467540 4935080 9006521 18013042 36026084 38370247 45032605 72052168 76740494 90065210 153480988 180130420 191851235 306961976 360260840 383702470 767404940 1534809880 2801028031 5602056062 11204112124 14005140155 22408224248 28010280310 56020560620 112041121240