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112024100 = 22522938629
BaseRepresentation
bin1101010110101…
…01101000100100
321210210102011202
412223111220210
5212134232400
615041022032
72530121606
oct653255044
9253712152
10112024100
1158264401
1231624918
131a293766
1410c41176
159c7c4d5
hex6ad5a24

112024100 has 36 divisors (see below), whose sum is σ = 251481300. Its totient is φ = 43263360.

The previous prime is 112024097. The next prime is 112024141. The reversal of 112024100 is 1420211.

It can be written as a sum of positive squares in 6 ways, for example, as 20286016 + 91738084 = 4504^2 + 9578^2 .

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 11 ways as a sum of consecutive naturals, for example, 16415 + ... + 22214.

Almost surely, 2112024100 is an apocalyptic number.

112024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112024100 is an abundant number, since it is smaller than the sum of its proper divisors (139457200).

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

112024100 is a wasteful number, since it uses less digits than its factorization.

112024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38672 (or 38665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 112024100 is about 10584.1438009883. The cubic root of 112024100 is about 482.0630244201.

Adding to 112024100 its reverse (1420211), we get a palindrome (113444311).

The spelling of 112024100 in words is "one hundred twelve million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 38629 77258 154516 193145 386290 772580 965725 1120241 1931450 2240482 3862900 4480964 5601205 11202410 22404820 28006025 56012050 112024100