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111431140 = 22561149613
BaseRepresentation
bin1101010010001…
…00110111100100
321202200021210021
412221010313210
5212011244030
615020204524
72522102062
oct651046744
9252607707
10111431140
1157999957
1231399744
131a1168b2
1410b29032
159bb197a
hex6a44de4

111431140 has 48 divisors (see below), whose sum is σ = 239828400. Its totient is φ = 43476480.

The previous prime is 111431129. The next prime is 111431167. The reversal of 111431140 is 41134111.

It can be written as a sum of positive squares in 8 ways, for example, as 74269924 + 37161216 = 8618^2 + 6096^2 .

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 15 ways as a sum of consecutive naturals, for example, 181474 + ... + 182086.

It is an arithmetic number, because the mean of its divisors is an integer number (4996425).

Almost surely, 2111431140 is an apocalyptic number.

111431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111431140 is an abundant number, since it is smaller than the sum of its proper divisors (128397260).

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

111431140 is a wasteful number, since it uses less digits than its factorization.

111431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 111431140 is about 10556.0949218923. The cubic root of 111431140 is about 481.2109758653.

Adding to 111431140 its reverse (41134111), we get a palindrome (152565251).

The spelling of 111431140 in words is "one hundred eleven million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 149 244 298 305 596 610 613 745 1220 1226 1490 2452 2980 3065 6130 9089 12260 18178 36356 37393 45445 74786 90890 91337 149572 181780 182674 186965 365348 373930 456685 747860 913370 1826740 5571557 11143114 22286228 27857785 55715570 111431140