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112331340 = 223351118911
BaseRepresentation
bin1101011001000…
…00101001001100
321211101000122000
412230200221030
5212224100330
615051352300
72532541422
oct654405114
9254330560
10112331340
1158454220
1231752690
131a370564
1410cc1112
159cdd560
hex6b20a4c

112331340 has 96 divisors (see below), whose sum is σ = 381265920. Its totient is φ = 27230400.

The previous prime is 112331311. The next prime is 112331341. The reversal of 112331340 is 43133211.

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

It is not an unprimeable number, because it can be changed into a prime (112331341) 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, 3516 + ... + 15395.

It is an arithmetic number, because the mean of its divisors is an integer number (3971520).

Almost surely, 2112331340 is an apocalyptic number.

112331340 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 112331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190632960).

112331340 is an abundant number, since it is smaller than the sum of its proper divisors (268934580).

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

112331340 is a wasteful number, since it uses less digits than its factorization.

112331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 112331340 is about 10598.6480269891. The cubic root of 112331340 is about 482.5033280306.

Adding to 112331340 its reverse (43133211), we get a palindrome (155464551).

The spelling of 112331340 in words is "one hundred twelve million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 18911 37822 56733 75644 94555 113466 170199 189110 208021 226932 283665 340398 378220 416042 510597 567330 624063 680796 832084 850995 1021194 1040105 1134660 1248126 1701990 1872189 2042388 2080210 2496252 2552985 3120315 3403980 3744378 4160420 5105970 5616567 6240630 7488756 9360945 10211940 11233134 12481260 18721890 22466268 28082835 37443780 56165670 112331340