Search a number
-
+
111434042120 = 23531661913577
BaseRepresentation
bin110011111000111111…
…1001000101100001000
3101122122000210212100012
41213301333020230020
53311204103321440
6123105254131052
711023303505162
oct1476177105410
9348560725305
10111434042120
1143293680195
121971b050a88
13a67b63743b
145571837932
152d72e63e65
hex19f1fc8b08

111434042120 has 64 divisors (see below), whose sum is σ = 258872716800. Its totient is φ = 43126064640.

The previous prime is 111434042113. The next prime is 111434042123. The reversal of 111434042120 is 21240434111.

111434042120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111434042123) 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 15 ways as a sum of consecutive naturals, for example, 8200772 + ... + 8214348.

It is an arithmetic number, because the mean of its divisors is an integer number (4044886200).

Almost surely, 2111434042120 is an apocalyptic number.

111434042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111434042120 is an abundant number, since it is smaller than the sum of its proper divisors (147438674680).

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

111434042120 is a wasteful number, since it uses less digits than its factorization.

111434042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20238 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 111434042120 its reverse (21240434111), we get a palindrome (132674476231).

The spelling of 111434042120 in words is "one hundred eleven billion, four hundred thirty-four million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 6619 13238 13577 26476 27154 33095 52952 54308 66190 67885 108616 132380 135770 205189 264760 271540 410378 420887 543080 820756 841774 1025945 1641512 1683548 2051890 2104435 3367096 4103780 4208870 8207560 8417740 16835480 89866163 179732326 359464652 449330815 718929304 898661630 1797323260 2785851053 3594646520 5571702106 11143404212 13929255265 22286808424 27858510530 55717021060 111434042120