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2011143000 = 233532329147
BaseRepresentation
bin111011111011111…
…1001101101011000
312012011022122112210
41313313321231120
513104323034000
6531321435120
7100560301446
oct16767715530
95164278483
102011143000
11942268559
1248163baa0
13260879259
14151159b96
15bb864350
hex77df9b58

2011143000 has 128 divisors (see below), whose sum is σ = 6547806720. Its totient is φ = 512969600.

The previous prime is 2011142983. The next prime is 2011143049. The reversal of 2011143000 is 3411102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54427 + ... + 83573.

It is an arithmetic number, because the mean of its divisors is an integer number (51154740).

Almost surely, 22011143000 is an apocalyptic number.

2011143000 is a gapful number since it is divisible by the number (20) 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 2011143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273903360).

2011143000 is an abundant number, since it is smaller than the sum of its proper divisors (4536663720).

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

2011143000 is a wasteful number, since it uses less digits than its factorization.

2011143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011143000 is about 44845.7690312029. The cubic root of 2011143000 is about 1262.2566011189.

Adding to 2011143000 its reverse (3411102), we get a palindrome (2014554102).

The spelling of 2011143000 in words is "two billion, eleven million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 29147 34500 58294 69000 87441 116588 145735 174882 233176 291470 349764 437205 582940 670381 699528 728675 874410 1165880 1340762 1457350 1748820 2011143 2186025 2681524 2914700 3351905 3497640 3643375 4022286 4372050 5363048 5829400 6703810 7286750 8044572 8744100 10055715 10930125 13407620 14573500 16089144 16759525 17488200 20111430 21860250 26815240 29147000 33519050 40222860 43720500 50278575 67038100 80445720 83797625 87441000 100557150 134076200 167595250 201114300 251392875 335190500 402228600 502785750 670381000 1005571500 2011143000