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112020000 = 253541867
BaseRepresentation
bin1101010110101…
…00101000100000
321210210012112220
412223110220200
5212134120000
615040551040
72530103631
oct653245040
9253705486
10112020000
1158261314
1231622480
131a291931
1410c3d888
159c7b1a0
hex6ad4a20

112020000 has 120 divisors (see below), whose sum is σ = 367644816. Its totient is φ = 29856000.

The previous prime is 112019993. The next prime is 112020043. The reversal of 112020000 is 20211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59067 + ... + 60933.

Almost surely, 2112020000 is an apocalyptic number.

112020000 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 112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183822408).

112020000 is an abundant number, since it is smaller than the sum of its proper divisors (255624816).

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

112020000 is an equidigital number, since it uses as much as digits as its factorization.

112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 112020000 is about 10583.9501132611. The cubic root of 112020000 is about 482.0571432972.

Adding to 112020000 its reverse (20211), we get a palindrome (112040211).

The spelling of 112020000 in words is "one hundred twelve million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1867 1875 2000 2400 2500 3000 3734 3750 4000 5000 5601 6000 7468 7500 9335 10000 11202 12000 14936 15000 18670 20000 22404 28005 29872 30000 37340 44808 46675 56010 59744 60000 74680 89616 93350 112020 140025 149360 179232 186700 224040 233375 280050 298720 373400 448080 466750 560100 700125 746800 896160 933500 1120200 1166875 1400250 1493600 1867000 2240400 2333750 2800500 3500625 3734000 4480800 4667500 5601000 7001250 7468000 9335000 11202000 14002500 18670000 22404000 28005000 37340000 56010000 112020000