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111311040 = 2635472467
BaseRepresentation
bin1101010001001…
…11100011000000
321202110012001010
412220213203000
5211443423130
615013440520
72521061661
oct650474300
9252405033
10111311040
11579176a5
1231340140
131a0a4029
1410ad7368
159b8b0b0
hex6a278c0

111311040 has 112 divisors (see below), whose sum is σ = 361078272. Its totient is φ = 29039616.

The previous prime is 111311029. The next prime is 111311131. The reversal of 111311040 is 40113111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43887 + ... + 46353.

Almost surely, 2111311040 is an apocalyptic number.

111311040 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 111311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180539136).

111311040 is an abundant number, since it is smaller than the sum of its proper divisors (249767232).

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

111311040 is a wasteful number, since it uses less digits than its factorization.

111311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2524 counting only the distinct ones).

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

The square root of 111311040 is about 10550.4047315731. The cubic root of 111311040 is about 481.0380313490.

Adding to 111311040 its reverse (40113111), we get a palindrome (151424151).

The spelling of 111311040 in words is "one hundred eleven million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2467 2820 3008 3760 4512 4934 5640 7401 7520 9024 9868 11280 12335 14802 15040 19736 22560 24670 29604 37005 39472 45120 49340 59208 74010 78944 98680 115949 118416 148020 157888 197360 231898 236832 296040 347847 394720 463796 473664 579745 592080 695694 789440 927592 1159490 1184160 1391388 1739235 1855184 2318980 2368320 2782776 3478470 3710368 4637960 5565552 6956940 7420736 9275920 11131104 13913880 18551840 22262208 27827760 37103680 55655520 111311040