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111130040 = 2357231259
BaseRepresentation
bin1101001111110…
…11010110111000
321202002222202102
412213323112320
5211422130130
615005522532
72516406200
oct647732670
9252088672
10111130040
115780370a
1231273448
131a03c828
1410a8b400
159b52645
hex69fb5b8

111130040 has 144 divisors (see below), whose sum is σ = 305645400. Its totient is φ = 36247680.

The previous prime is 111130039. The next prime is 111130057. The reversal of 111130040 is 40031111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1883531 + ... + 1883589.

Almost surely, 2111130040 is an apocalyptic number.

111130040 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 111130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152822700).

111130040 is an abundant number, since it is smaller than the sum of its proper divisors (194515360).

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

111130040 is a wasteful number, since it uses less digits than its factorization.

111130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 111130040 is about 10541.8233716943. The cubic root of 111130040 is about 480.7771554009. Note that the first 3 decimals are identical.

Adding to 111130040 its reverse (40031111), we get a palindrome (151161151).

The spelling of 111130040 in words is "one hundred eleven million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 59 62 70 98 118 124 140 155 196 217 236 245 248 280 295 310 392 413 434 472 490 590 620 826 868 961 980 1085 1180 1240 1519 1652 1736 1829 1922 1960 2065 2170 2360 2891 3038 3304 3658 3844 4130 4340 4805 5782 6076 6727 7316 7595 7688 8260 8680 9145 9610 11564 12152 12803 13454 14455 14632 15190 16520 18290 19220 23128 25606 26908 28910 30380 33635 36580 38440 47089 51212 53816 56699 57820 60760 64015 67270 73160 89621 94178 102424 113398 115640 128030 134540 179242 188356 226796 235445 256060 269080 283495 358484 376712 396893 448105 453592 470890 512120 566990 716968 793786 896210 941780 1133980 1587572 1792420 1883560 1984465 2267960 2778251 3175144 3584840 3968930 5556502 7937860 11113004 13891255 15875720 22226008 27782510 55565020 111130040