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210133000 = 23537112729
BaseRepresentation
bin11001000011001…
…10000000001000
3112122101212021201
430201212000020
5412243224000
632503513544
75131046440
oct1441460010
9478355251
10210133000
11a8684040
125a4588b4
13346c456c
141dc9d120
15136ab96a
hexc866008

210133000 has 128 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 65472000.

The previous prime is 210132977. The next prime is 210133003. The reversal of 210133000 is 331012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75636 + ... + 78364.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2210133000 is an apocalyptic number.

210133000 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 210133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

210133000 is an abundant number, since it is smaller than the sum of its proper divisors (403134200).

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

210133000 is a wasteful number, since it uses less digits than its factorization.

210133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 210133000 is about 14495.9649558075. The cubic root of 210133000 is about 594.5176515916.

Adding to 210133000 its reverse (331012), we get a palindrome (210464012).

The spelling of 210133000 in words is "two hundred ten million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2729 2750 3080 3500 3850 5458 5500 7000 7700 9625 10916 11000 13645 15400 19103 19250 21832 27290 30019 38206 38500 54580 60038 68225 76412 77000 95515 109160 120076 136450 150095 152824 191030 210133 240152 272900 300190 341125 382060 420266 477575 545800 600380 682250 750475 764120 840532 955150 1050665 1200760 1364500 1500950 1681064 1910300 2101330 2387875 2729000 3001900 3752375 3820600 4202660 4775750 5253325 6003800 7504750 8405320 9551500 10506650 15009500 19103000 21013300 26266625 30019000 42026600 52533250 105066500 210133000