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201112000 = 2653231093
BaseRepresentation
bin10111111110010…
…11100111000000
3112000102112210121
423333023213000
5402441041000
631542310024
74661265235
oct1377134700
9460375717
10201112000
11a3582471
1257428314
13328864ab
141c9d178c
15129c8b1a
hexbfcb9c0

201112000 has 112 divisors (see below), whose sum is σ = 520183872. Its totient is φ = 76876800.

The previous prime is 201111991. The next prime is 201112019. The reversal of 201112000 is 211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183454 + ... + 184546.

Almost surely, 2201112000 is an apocalyptic number.

201112000 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 201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260091936).

201112000 is an abundant number, since it is smaller than the sum of its proper divisors (319071872).

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

201112000 is a wasteful number, since it uses less digits than its factorization.

201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 201112000 is about 14181.3962641201. The cubic root of 201112000 is about 585.8853810234.

Adding to 201112000 its reverse (211102), we get a palindrome (201323102).

The spelling of 201112000 in words is "two hundred one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1093 1150 1472 1600 1840 2000 2186 2300 2875 3680 4000 4372 4600 5465 5750 7360 8000 8744 9200 10930 11500 17488 18400 21860 23000 25139 27325 34976 36800 43720 46000 50278 54650 69952 87440 92000 100556 109300 125695 136625 174880 184000 201112 218600 251390 273250 349760 402224 437200 502780 546500 628475 804448 874400 1005560 1093000 1256950 1608896 1748800 2011120 2186000 2513900 3142375 4022240 4372000 5027800 6284750 8044480 8744000 10055600 12569500 20111200 25139000 40222400 50278000 100556000 201112000