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112421400 = 233527132971
BaseRepresentation
bin1101011001101…
…10101000011000
321211112121011120
412230312220120
5212234441100
615053325240
72533365120
oct654665030
9254477146
10112421400
1158505953
1231796820
131a3a2550
1410d05c80
159d0a0a0
hex6b36a18

112421400 has 384 divisors, whose sum is σ = 449971200. Its totient is φ = 22579200.

The previous prime is 112421381. The next prime is 112421417. The reversal of 112421400 is 4124211.

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 112421400.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1583365 + ... + 1583435.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2112421400 is an apocalyptic number.

112421400 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 112421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

112421400 is an abundant number, since it is smaller than the sum of its proper divisors (337549800).

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

112421400 is a wasteful number, since it uses less digits than its factorization.

112421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 112421400 is about 10602.8958308568. The cubic root of 112421400 is about 482.6322402349.

Adding to 112421400 its reverse (4124211), we get a palindrome (116545611).

The spelling of 112421400 in words is "one hundred twelve million, four hundred twenty-one thousand, four hundred".