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111100140 = 22335283727
BaseRepresentation
bin1101001111101…
…00000011101100
321202001110202000
412213310003230
5211420201030
615005132300
72516223054
oct647640354
9252043660
10111100140
11577931a8
123125a090
131a02c038
1410a80564
159b48860
hex69f40ec

111100140 has 96 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 29481408.

The previous prime is 111100123. The next prime is 111100141. The reversal of 111100140 is 41001111.

It is a super-2 number, since 2×1111001402 = 24686482216039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (111100141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152457 + ... + 153183.

It is an arithmetic number, because the mean of its divisors is an integer number (3618160).

Almost surely, 2111100140 is an apocalyptic number.

111100140 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 111100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

111100140 is an abundant number, since it is smaller than the sum of its proper divisors (236243220).

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

111100140 is a wasteful number, since it uses less digits than its factorization.

111100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111100140 is about 10540.4051155541. The cubic root of 111100140 is about 480.7340331680.

Adding to 111100140 its reverse (41001111), we get a palindrome (152101251).

The spelling of 111100140 in words is "one hundred eleven million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 283 540 566 727 849 1132 1415 1454 1698 2181 2547 2830 2908 3396 3635 4245 4362 5094 5660 6543 7270 7641 8490 8724 10188 10905 12735 13086 14540 15282 16980 19629 21810 25470 26172 30564 32715 38205 39258 43620 50940 65430 76410 78516 98145 130860 152820 196290 205741 392580 411482 617223 822964 1028705 1234446 1851669 2057410 2468892 3086115 3703338 4114820 5555007 6172230 7406676 9258345 11110014 12344460 18516690 22220028 27775035 37033380 55550070 111100140