Search a number
-
+
210101200212020 = 22513881249916973
BaseRepresentation
bin101111110001010111111111…
…011001111101000000110100
31000112220110220212220202000112
4233301113333121331000310
5210014244224223241040
62022503054154202152
762153211413411045
oct5761277731750064
91015813825822015
10210101200212020
1160a43467213527
121b69302aa23358
1390305c5793960
1439c4d4935a8cc
15194533379a365
hexbf15ff67d034

210101200212020 has 48 divisors (see below), whose sum is σ = 475153002450000. Its totient is φ = 77575655141376.

The previous prime is 210101200212019. The next prime is 210101200212049. The reversal of 210101200212020 is 20212002101012.

It can be written as a sum of positive squares in 8 ways, for example, as 3983608826404 + 206117591385616 = 1995898^2 + 14356796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210101200211986 and 210101200212004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228666254 + ... + 229583226.

It is an arithmetic number, because the mean of its divisors is an integer number (9899020884375).

Almost surely, 2210101200212020 is an apocalyptic number.

210101200212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101200212020 is an abundant number, since it is smaller than the sum of its proper divisors (265051802237980).

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

210101200212020 is a wasteful number, since it uses less digits than its factorization.

210101200212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798244 (or 1798242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210101200212020 its reverse (20212002101012), we get a palindrome (230313202313032).

The spelling of 210101200212020 in words is "two hundred ten trillion, one hundred one billion, two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 881249 916973 1762498 1833946 3524996 3667892 4406245 4584865 8812490 9169730 11456237 11920649 17624980 18339460 22912474 23841298 45824948 47682596 57281185 59603245 114562370 119206490 229124740 238412980 808081539277 1616163078554 3232326157108 4040407696385 8080815392770 10505060010601 16161630785540 21010120021202 42020240042404 52525300053005 105050600106010 210101200212020