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111310420 = 225131273371
BaseRepresentation
bin1101010001001…
…11011001010100
321202110011012011
412220213121110
5211443413140
615013434004
72521060114
oct650473124
9252404164
10111310420
1157917191
123133b904
131a0a3970
1410ad7044
159b8acea
hex6a27654

111310420 has 48 divisors (see below), whose sum is σ = 253790208. Its totient is φ = 40763520.

The previous prime is 111310411. The next prime is 111310427. The reversal of 111310420 is 24013111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 111310420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111310427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31335 + ... + 34705.

It is an arithmetic number, because the mean of its divisors is an integer number (5287296).

Almost surely, 2111310420 is an apocalyptic number.

111310420 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 111310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126895104).

111310420 is an abundant number, since it is smaller than the sum of its proper divisors (142479788).

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

111310420 is a wasteful number, since it uses less digits than its factorization.

111310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 111310420 is about 10550.3753487731. The cubic root of 111310420 is about 481.0371382237.

Adding to 111310420 its reverse (24013111), we get a palindrome (135323531).

The spelling of 111310420 in words is "one hundred eleven million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 3371 6604 6742 8255 13484 16510 16855 33020 33710 43823 67420 87646 175292 219115 428117 438230 856234 876460 1712468 2140585 4281170 5565521 8562340 11131042 22262084 27827605 55655210 111310420