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112742322 = 23711793089
BaseRepresentation
bin1101011100001…
…00111110110010
321212010220101120
412232010332302
5212330223242
615104243110
72536202550
oct656047662
9255126346
10112742322
1158704a80
1231910496
131a485644
1410d8abd0
159d701ec
hex6b84fb2

112742322 has 64 divisors (see below), whose sum is σ = 284774400. Its totient is φ = 28903680.

The previous prime is 112742291. The next prime is 112742327. The reversal of 112742322 is 223247211.

It is a junction number, because it is equal to n+sod(n) for n = 112742292 and 112742301.

It is not an unprimeable number, because it can be changed into a prime (112742327) 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, 34954 + ... + 38042.

It is an arithmetic number, because the mean of its divisors is an integer number (4449600).

Almost surely, 2112742322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112742322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142387200).

112742322 is an abundant number, since it is smaller than the sum of its proper divisors (172032078).

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

112742322 is a wasteful number, since it uses less digits than its factorization.

112742322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191.

The product of its digits is 1344, while the sum is 24.

The square root of 112742322 is about 10618.0187417427. The cubic root of 112742322 is about 483.0910501379.

Adding to 112742322 its reverse (223247211), we get a palindrome (335989533).

The spelling of 112742322 in words is "one hundred twelve million, seven hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3089 3318 5214 6083 6178 9267 12166 18249 18534 21623 33979 36498 43246 64869 67958 101937 129738 203874 237853 244031 475706 488062 713559 732093 1427118 1464186 1708217 2684341 3416434 5124651 5368682 8053023 10249302 16106046 18790387 37580774 56371161 112742322