Search a number
-
+
2010200233200 = 243524573665573
BaseRepresentation
bin11101010000001001010…
…001010101010011110000
321010011200022101101101220
4131100021101111103300
5230413342224430300
64135250115225040
7265142431025205
oct35201121252360
97104608341356
102010200233200
11705580697a85
1228570bba8180
1311773a88b013
146d419455cac
153745373dda0
hex1d4094554f0

2010200233200 has 120 divisors (see below), whose sum is σ = 6453433636848. Its totient is φ = 534880266240.

The previous prime is 2010200233199. The next prime is 2010200233201. The reversal of 2010200233200 is 23320020102.

It is an interprime number because it is at equal distance from previous prime (2010200233199) and next prime (2010200233201).

It is a tau number, because it is divible by the number of its divisors (120).

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 2010200233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010200233201) 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 23 ways as a sum of consecutive naturals, for example, 1284387 + ... + 2381186.

Almost surely, 22010200233200 is an apocalyptic number.

2010200233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010200233200 is an abundant number, since it is smaller than the sum of its proper divisors (4443233403648).

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

2010200233200 is a wasteful number, since it uses less digits than its factorization.

2010200233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666051 (or 3666040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2010200233200 its reverse (23320020102), we get a palindrome (2033520253302).

The spelling of 2010200233200 in words is "two trillion, ten billion, two hundred million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 457 600 914 1200 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 11425 13710 18280 21936 22850 27420 34275 36560 45700 54840 68550 91400 109680 137100 182800 274200 548400 3665573 7331146 10996719 14662292 18327865 21993438 29324584 36655730 43986876 54983595 58649168 73311460 87973752 91639325 109967190 146622920 175947504 183278650 219934380 274917975 293245840 366557300 439868760 549835950 733114600 879737520 1099671900 1466229200 1675166861 2199343800 3350333722 4398687600 5025500583 6700667444 8375834305 10051001166 13401334888 16751668610 20102002332 25127502915 26802669776 33503337220 40204004664 41879171525 50255005830 67006674440 80408009328 83758343050 100510011660 125637514575 134013348880 167516686100 201020023320 251275029150 335033372200 402040046640 502550058300 670066744400 1005100116600 2010200233200