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112010320 = 24519591249
BaseRepresentation
bin1101010110100…
…10010001010000
321210202201021101
412223102101100
5212133312240
615040434144
72530033462
oct653222120
9253681241
10112010320
1158255014
1231618954
131a28a3c6
1410c3a132
159c7839a
hex6ad2450

112010320 has 80 divisors (see below), whose sum is σ = 279000000. Its totient is φ = 41693184.

The previous prime is 112010309. The next prime is 112010329. The reversal of 112010320 is 23010211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112010297 and 112010306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010329) 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 15 ways as a sum of consecutive naturals, for example, 89056 + ... + 90304.

It is an arithmetic number, because the mean of its divisors is an integer number (3487500).

Almost surely, 2112010320 is an apocalyptic number.

112010320 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 112010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139500000).

112010320 is an abundant number, since it is smaller than the sum of its proper divisors (166989680).

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

112010320 is a wasteful number, since it uses less digits than its factorization.

112010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112010320 is about 10583.4928071974. The cubic root of 112010320 is about 482.0432575400.

Adding to 112010320 its reverse (23010211), we get a palindrome (135020531).

The spelling of 112010320 in words is "one hundred twelve million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 152 190 236 295 304 380 472 590 760 944 1121 1180 1249 1520 2242 2360 2498 4484 4720 4996 5605 6245 8968 9992 11210 12490 17936 19984 22420 23731 24980 44840 47462 49960 73691 89680 94924 99920 118655 147382 189848 237310 294764 368455 379696 474620 589528 736910 949240 1179056 1400129 1473820 1898480 2800258 2947640 5600516 5895280 7000645 11201032 14001290 22402064 28002580 56005160 112010320