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111426120 = 233251329821
BaseRepresentation
bin1101010010000…
…11101001001000
321202200000220100
412221003221020
5212011113440
615020125400
72522051331
oct651035110
9252600810
10111426120
1157996103
1231396860
131a114520
1410b27288
159bb0230
hex6a43a48

111426120 has 192 divisors, whose sum is σ = 403930800. Its totient is φ = 26449920.

The previous prime is 111426097. The next prime is 111426137. The reversal of 111426120 is 21624111.

111426120 is a `hidden beast` number, since 1 + 11 + 42 + 612 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17994564 + 93431556 = 4242^2 + 9666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111426093 and 111426102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 135310 + ... + 136130.

Almost surely, 2111426120 is an apocalyptic number.

111426120 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 111426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201965400).

111426120 is an abundant number, since it is smaller than the sum of its proper divisors (292504680).

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

111426120 is a wasteful number, since it uses less digits than its factorization.

111426120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111426120 is about 10555.8571418905. The cubic root of 111426120 is about 481.2037495329.

The spelling of 111426120 in words is "one hundred eleven million, four hundred twenty-six thousand, one hundred twenty".