Search a number
-
+
2200021010010 = 234518115005941
BaseRepresentation
bin100000000000111011011…
…110001000011001011010
321210022122020122221210000
4200000323132020121122
5242021120334310020
64402401541233430
7314642400015525
oct40007336103132
97708566587700
102200021010010
1177902956212a
122b6466702876
1312c5cc02b5b5
14786a567dbbc
153c363202090
hex2003b78865a

2200021010010 has 80 divisors (see below), whose sum is σ = 5948295385032. Its totient is φ = 583430947200.

The previous prime is 2200021010009. The next prime is 2200021010207. The reversal of 2200021010010 is 100101200022.

It can be written as a sum of positive squares in 4 ways, for example, as 645832427769 + 1554188582241 = 803637^2 + 1246671^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2200021009974 and 2200021010001.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7356361 + ... + 7649580.

Almost surely, 22200021010010 is an apocalyptic number.

2200021010010 is an abundant number, since it is smaller than the sum of its proper divisors (3748274375022).

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

2200021010010 is a wasteful number, since it uses less digits than its factorization.

2200021010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15006141 (or 15006132 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200021010010 its reverse (100101200022), we get a palindrome (2300122210032).

The spelling of 2200021010010 in words is "two trillion, two hundred billion, twenty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 181 270 362 405 543 810 905 1086 1629 1810 2715 3258 4887 5430 8145 9774 14661 16290 24435 29322 48870 73305 146610 15005941 30011882 45017823 75029705 90035646 135053469 150059410 225089115 270106938 405160407 450178230 675267345 810320814 1215481221 1350534690 2025802035 2430962442 2716075321 4051604070 5432150642 6077406105 8148225963 12154812210 13580376605 16296451926 24444677889 27160753210 40741129815 48889355778 73334033667 81482259630 122223389445 146668067334 220002101001 244446778890 366670168335 440004202002 733340336670 1100010505005 2200021010010