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112133140 = 22572971389
BaseRepresentation
bin1101010111100…
…00010000010100
321210222221202021
412223300100110
5212201230030
615043222524
72531054530
oct653602024
9253887667
10112133140
1158329319
1231677a44
131a301292
1410c6cbc0
159c9e97a
hex6af0414

112133140 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 36503040.

The previous prime is 112133137. The next prime is 112133141. The reversal of 112133140 is 41331211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 288066 + ... + 288454.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2112133140 is an apocalyptic number.

112133140 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 112133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

112133140 is an abundant number, since it is smaller than the sum of its proper divisors (170913260).

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

112133140 is a wasteful number, since it uses less digits than its factorization.

112133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 112133140 is about 10589.2936497200. The cubic root of 112133140 is about 482.2193809742.

Adding to 112133140 its reverse (41331211), we get a palindrome (153464351).

The spelling of 112133140 in words is "one hundred twelve million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 71 116 140 142 145 203 284 290 355 389 406 497 580 710 778 812 994 1015 1420 1556 1945 1988 2030 2059 2485 2723 3890 4060 4118 4970 5446 7780 8236 9940 10295 10892 11281 13615 14413 20590 22562 27230 27619 28826 41180 45124 54460 55238 56405 57652 72065 78967 110476 112810 138095 144130 157934 193333 225620 276190 288260 315868 386666 394835 552380 773332 789670 800951 966665 1579340 1601902 1933330 3203804 3866660 4004755 5606657 8009510 11213314 16019020 22426628 28033285 56066570 112133140