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201371000 = 2353792549
BaseRepresentation
bin11000000000010…
…10110101111000
3112000220201002012
430000022311320
5403022333000
631552025052
74663424315
oct1400126570
9460821065
10201371000
11a373a016
1257532188
133294734c
141ca5bd0c
1512a2a735
hexc00ad78

201371000 has 64 divisors (see below), whose sum is σ = 477360000. Its totient is φ = 79497600.

The previous prime is 201370997. The next prime is 201371017. The reversal of 201371000 is 173102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 77726 + ... + 80274.

It is an arithmetic number, because the mean of its divisors is an integer number (7458750).

Almost surely, 2201371000 is an apocalyptic number.

201371000 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 201371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

201371000 is an abundant number, since it is smaller than the sum of its proper divisors (275989000).

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

201371000 is a wasteful number, since it uses less digits than its factorization.

201371000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 201371000 is about 14190.5250079058. The cubic root of 201371000 is about 586.1367819335.

The spelling of 201371000 in words is "two hundred one million, three hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 2549 3160 3950 5098 7900 9875 10196 12745 15800 19750 20392 25490 39500 50980 63725 79000 101960 127450 201371 254900 318625 402742 509800 637250 805484 1006855 1274500 1610968 2013710 2549000 4027420 5034275 8054840 10068550 20137100 25171375 40274200 50342750 100685500 201371000