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111113040 = 24352331987
BaseRepresentation
bin1101001111101…
…11001101010000
321202002010102210
412213313031100
5211421104130
615005312120
72516305503
oct647671520
9252063383
10111113040
11577a1965
1231265640
131a034b7c
1410a8513a
159b4c5b0
hex69f7350

111113040 has 80 divisors (see below), whose sum is σ = 346102848. Its totient is φ = 29488128.

The previous prime is 111113017. The next prime is 111113053. The reversal of 111113040 is 40311111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1111130402 = 24692215316083200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54927 + ... + 56913.

Almost surely, 2111113040 is an apocalyptic number.

111113040 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 111113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173051424).

111113040 is an abundant number, since it is smaller than the sum of its proper divisors (234989808).

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

111113040 is a wasteful number, since it uses less digits than its factorization.

111113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

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

The square root of 111113040 is about 10541.0170287311. The cubic root of 111113040 is about 480.7526386922.

Adding to 111113040 its reverse (40311111), we get a palindrome (151424151).

The spelling of 111113040 in words is "one hundred eleven million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 1987 2330 2796 3495 3728 3974 4660 5592 5961 6990 7948 9320 9935 11184 11922 13980 15896 18640 19870 23844 27960 29805 31792 39740 47688 55920 59610 79480 95376 119220 158960 238440 462971 476880 925942 1388913 1851884 2314855 2777826 3703768 4629710 5555652 6944565 7407536 9259420 11111304 13889130 18518840 22222608 27778260 37037680 55556520 111113040