Search a number
-
+
112331041038 = 232233113732339
BaseRepresentation
bin110100010011101110…
…0111010100100001110
3101201221112200010112100
41220213130322210032
53320023221303123
6123334300015530
711054445044316
oct1504734724416
9351845603470
10112331041038
1143703a42807
121992b5315a6
13a79241cb28
145618a12446
152dc6a9b643
hex1a2773a90e

112331041038 has 96 divisors (see below), whose sum is σ = 255574725120. Its totient is φ = 35589597120.

The previous prime is 112331041001. The next prime is 112331041051. The reversal of 112331041038 is 830140133211.

112331041038 is a `hidden beast` number, since 1 + 1 + 233 + 10 + 410 + 3 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 48024073 + ... + 48026411.

It is an arithmetic number, because the mean of its divisors is an integer number (2662236720).

Almost surely, 2112331041038 is an apocalyptic number.

112331041038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112331041038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127787362560).

112331041038 is an abundant number, since it is smaller than the sum of its proper divisors (143243684082).

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

112331041038 is a wasteful number, since it uses less digits than its factorization.

112331041038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 112331041038 its reverse (830140133211), we get a palindrome (942471174249).

The spelling of 112331041038 in words is "one hundred twelve billion, three hundred thirty-one million, forty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 311 373 414 622 746 933 1119 1866 2238 2339 2799 3357 4678 5598 6714 7017 7153 8579 14034 14306 17158 21051 21459 25737 42102 42918 51474 53797 64377 77211 107594 116003 128754 154422 161391 232006 322782 348009 484173 696018 727429 872447 968346 1044027 1454858 1744894 2088054 2182287 2617341 2668069 4364574 5234682 5336138 6546861 7852023 8004207 13093722 15704046 16008414 16730867 20066281 24012621 33461734 40132562 48025242 50192601 60198843 100385202 120397686 150577803 180596529 271331017 301155606 361193058 542662034 813993051 1627986102 2441979153 4883958306 6240613391 12481226782 18721840173 37443680346 56165520519 112331041038