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112103200 = 25521112739
BaseRepresentation
bin1101010111010…
…00111100100000
321210221102200101
412223220330200
5212144300300
615042432144
72530601326
oct653507440
9253842611
10112103200
1158308880
1231662654
131a2c0771
1410c61d16
159c95b6a
hex6ae8f20

112103200 has 72 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 40761600.

The previous prime is 112103197. The next prime is 112103207. The reversal of 112103200 is 2301211.

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

It is not an unprimeable number, because it can be changed into a prime (112103207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2431 + ... + 15169.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2112103200 is an apocalyptic number.

112103200 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 112103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

112103200 is an abundant number, since it is smaller than the sum of its proper divisors (186471440).

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

112103200 is a wasteful number, since it uses less digits than its factorization.

112103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12757 counting only the distinct ones).

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

The square root of 112103200 is about 10587.8798633154. The cubic root of 112103200 is about 482.1764589815.

Adding to 112103200 its reverse (2301211), we get a palindrome (114404411).

The spelling of 112103200 in words is "one hundred twelve million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 12739 25478 50956 63695 101912 127390 140129 203824 254780 280258 318475 407648 509560 560516 636950 700645 1019120 1121032 1273900 1401290 2038240 2242064 2547800 2802580 3503225 4484128 5095600 5605160 7006450 10191200 11210320 14012900 22420640 28025800 56051600 112103200