Search a number
-
+
201010200320 = 285401391619
BaseRepresentation
bin1011101100110100100…
…1000011111100000000
3201012211202011011211002
42323031021003330000
511243132102402240
6232202014111132
720344135340306
oct2731511037400
9635752134732
10201010200320
11782800216a6
1232b59aab4a8
1315c556bb147
149a2c326276
155366ebcd15
hex2ecd243f00

201010200320 has 72 divisors (see below), whose sum is σ = 482684181840. Its totient is φ = 80203366400.

The previous prime is 201010200299. The next prime is 201010200323. The reversal of 201010200320 is 23002010102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317471 + ... + 709089.

It is an arithmetic number, because the mean of its divisors is an integer number (6703946970).

Almost surely, 2201010200320 is an apocalyptic number.

201010200320 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 201010200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241342090920).

201010200320 is an abundant number, since it is smaller than the sum of its proper divisors (281673981520).

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

201010200320 is an equidigital number, since it uses as much as digits as its factorization.

201010200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392041 (or 392027 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 201010200320 its reverse (23002010102), we get a palindrome (224012210422).

The spelling of 201010200320 in words is "two hundred one billion, ten million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 401 640 802 1280 1604 2005 3208 4010 6416 8020 12832 16040 25664 32080 51328 64160 102656 128320 256640 391619 513280 783238 1566476 1958095 3132952 3916190 6265904 7832380 12531808 15664760 25063616 31329520 50127232 62659040 100254464 125318080 157039219 250636160 314078438 501272320 628156876 785196095 1256313752 1570392190 2512627504 3140784380 5025255008 6281568760 10050510016 12563137520 20101020032 25126275040 40202040064 50252550080 100505100160 201010200320