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112242300 = 223522316267
BaseRepresentation
bin1101011000010…
…10111001111100
321211012111111020
412230022321330
5212213223200
615045424140
72532021012
oct654127174
9254174436
10112242300
11583a3335
123170b050
131a33bb81
1410c9a8b2
159cc1ea0
hex6b0ae7c

112242300 has 72 divisors (see below), whose sum is σ = 338894976. Its totient is φ = 28628160.

The previous prime is 112242281. The next prime is 112242301. The reversal of 112242300 is 3242211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112242300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112242301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234 + ... + 15033.

Almost surely, 2112242300 is an apocalyptic number.

112242300 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 112242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169447488).

112242300 is an abundant number, since it is smaller than the sum of its proper divisors (226652676).

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

112242300 is a wasteful number, since it uses less digits than its factorization.

112242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112242300 is about 10594.4466585094. The cubic root of 112242300 is about 482.3758081040.

Adding to 112242300 its reverse (3242211), we get a palindrome (115484511).

The spelling of 112242300 in words is "one hundred twelve million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 16267 32534 48801 65068 81335 97602 162670 195204 244005 325340 374141 406675 488010 748282 813350 976020 1122423 1220025 1496564 1626700 1870705 2244846 2440050 3741410 4489692 4880100 5612115 7482820 9353525 11224230 18707050 22448460 28060575 37414100 56121150 112242300