Search a number
-
+
2020120221200 = 245218127902213
BaseRepresentation
bin11101011001011000100…
…011000101011000010000
321011010021122120222200212
4131121120203011120100
5231044201234034300
64144010323103252
7265643314364054
oct35313043053020
97133248528625
102020120221200
11709801222874
1228761a211b28
1311865bb127c3
146dabab0bc64
1537834594935
hex1d6588c5610

2020120221200 has 60 divisors (see below), whose sum is σ = 4880153033028. Its totient is φ = 803583705600.

The previous prime is 2020120221193. The next prime is 2020120221211. The reversal of 2020120221200 is 21220210202.

It can be written as a sum of positive squares in 6 ways, for example, as 432600860176 + 1587519361024 = 657724^2 + 1259968^2 .

It is a super-2 number, since 2×20201202212002 (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13878707 + ... + 14023506.

Almost surely, 22020120221200 is an apocalyptic number.

2020120221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020120221200 is an abundant number, since it is smaller than the sum of its proper divisors (2860032811828).

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

2020120221200 is a wasteful number, since it uses less digits than its factorization.

2020120221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27902412 (or 27902401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2020120221200 its reverse (21220210202), we get a palindrome (2041340431402).

The spelling of 2020120221200 in words is "two trillion, twenty billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 72400 27902213 55804426 111608852 139511065 223217704 279022130 446435408 558044260 697555325 1116088520 1395110650 2232177040 2790221300 5050300553 5580442600 10100601106 11160885200 20201202212 25251502765 40402404424 50503005530 80804808848 101006011060 126257513825 202012022120 252515027650 404024044240 505030055300 1010060110600 2020120221200