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201100000 = 25552011
BaseRepresentation
bin10111111110010…
…00101011100000
3112000101221100011
423333020223200
5402440200000
631542134304
74661215243
oct1377105340
9460357304
10201100000
11a3574452
1257421394
1332880baa
141c9cb25a
15129c52ba
hexbfc8ae0

201100000 has 72 divisors (see below), whose sum is σ = 495108936. Its totient is φ = 80400000.

The previous prime is 201099937. The next prime is 201100001. The reversal of 201100000 is 1102.

Adding to 201100000 its reverse (1102), we get a palindrome (201101102).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98995 + ... + 101005.

It is an arithmetic number, because the mean of its divisors is an integer number (6876513).

Almost surely, 2201100000 is an apocalyptic number.

201100000 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 201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247554468).

201100000 is an abundant number, since it is smaller than the sum of its proper divisors (294008936).

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

201100000 is an frugal number, since it uses more digits than its factorization.

201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 201100000 is about 14180.9731682984. The cubic root of 201100000 is about 585.8737278743.

The spelling of 201100000 in words is "two hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2011 2500 3125 4000 4022 5000 6250 8044 10000 10055 12500 16088 20000 20110 25000 32176 40220 50000 50275 64352 80440 100000 100550 160880 201100 251375 321760 402200 502750 804400 1005500 1256875 1608800 2011000 2513750 4022000 5027500 6284375 8044000 10055000 12568750 20110000 25137500 40220000 50275000 100550000 201100000