Search a number
-
+
201110080 = 2651793511
BaseRepresentation
bin10111111110010…
…11001001000000
3112000102110011111
423333023021000
5402441010310
631542253104
74661256523
oct1377131100
9460373144
10201110080
11a3580a86
1257427194
1332885662
141c9d0bba
15129c828a
hexbfcb240

201110080 has 56 divisors (see below), whose sum is σ = 481705920. Its totient is φ = 79971840.

The previous prime is 201110047. The next prime is 201110083. The reversal of 201110080 is 80011102.

201110080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201110080.

It is not an unprimeable number, because it can be changed into a prime (201110083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55525 + ... + 59035.

Almost surely, 2201110080 is an apocalyptic number.

201110080 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 201110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240852960).

201110080 is an abundant number, since it is smaller than the sum of its proper divisors (280595840).

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

201110080 is a wasteful number, since it uses less digits than its factorization.

201110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 201110080 is about 14181.3285696369. The cubic root of 201110080 is about 585.8835165507.

Adding to 201110080 its reverse (80011102), we get a palindrome (281121182).

The spelling of 201110080 in words is "two hundred one million, one hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 320 358 716 895 1432 1790 2864 3511 3580 5728 7022 7160 11456 14044 14320 17555 28088 28640 35110 56176 57280 70220 112352 140440 224704 280880 561760 628469 1123520 1256938 2513876 3142345 5027752 6284690 10055504 12569380 20111008 25138760 40222016 50277520 100555040 201110080