Search a number
-
+
111314142 = 2334761719
BaseRepresentation
bin1101010001010…
…00010011011110
321202110100022000
412220220103132
5211444023032
615013503130
72521104012
oct650502336
9252410260
10111314142
1157919a65
1231341aa6
131a0a5574
1410ad8542
159b8be7c
hex6a284de

111314142 has 64 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 35670240.

The previous prime is 111314129. The next prime is 111314183. The reversal of 111314142 is 241413111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154459 + ... + 155177.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2111314142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111314142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

111314142 is an abundant number, since it is smaller than the sum of its proper divisors (145812258).

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

111314142 is a wasteful number, since it uses less digits than its factorization.

111314142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

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

The square root of 111314142 is about 10550.5517391272. The cubic root of 111314142 is about 481.0424998070.

Adding to 111314142 its reverse (241413111), we get a palindrome (352727253).

The spelling of 111314142 in words is "one hundred eleven million, three hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 61 94 122 141 183 282 366 423 549 719 846 1098 1269 1438 1647 2157 2538 2867 3294 4314 5734 6471 8601 12942 17202 19413 25803 33793 38826 43859 51606 67586 77409 87718 101379 131577 154818 202758 263154 304137 394731 608274 789462 912411 1184193 1824822 2061373 2368386 4122746 6184119 12368238 18552357 37104714 55657071 111314142