Search a number
-
+
20115040200 = 2335255816007
BaseRepresentation
bin10010101110111100…
…110010011111001000
31220220211222220201220
4102232330302133020
5312143422241300
613123555042040
71311320010033
oct225674623710
956824886656
1020115040200
118592463472
123a945a0320
131b87486168
14d8b6b001a
157cade1da0
hex4aef327c8

20115040200 has 96 divisors (see below), whose sum is σ = 62378180160. Its totient is φ = 5362156800.

The previous prime is 20115040193. The next prime is 20115040229. The reversal of 20115040200 is 204051102.

It is a super-2 number, since 2×201150402002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20115040200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345597 + ... + 3351603.

It is an arithmetic number, because the mean of its divisors is an integer number (649772710).

Almost surely, 220115040200 is an apocalyptic number.

20115040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20115040200 is an abundant number, since it is smaller than the sum of its proper divisors (42263139960).

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

20115040200 is a wasteful number, since it uses less digits than its factorization.

20115040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20115040200 its reverse (204051102), we get a palindrome (20319091302).

The spelling of 20115040200 in words is "twenty billion, one hundred fifteen million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5581 6007 11162 12014 16743 18021 22324 24028 27905 30035 33486 36042 44648 48056 55810 60070 66972 72084 83715 90105 111620 120140 133944 139525 144168 150175 167430 180210 223240 240280 279050 300350 334860 360420 418575 450525 558100 600700 669720 720840 837150 901050 1116200 1201400 1674300 1802100 3348600 3604200 33525067 67050134 100575201 134100268 167625335 201150402 268200536 335250670 402300804 502876005 670501340 804601608 838126675 1005752010 1341002680 1676253350 2011504020 2514380025 3352506700 4023008040 5028760050 6705013400 10057520100 20115040200