Search a number
-
+
210110200212100 = 225216019733134837
BaseRepresentation
bin101111110001100000010111…
…110110001110101010000100
31000112221100011010000010010211
4233301200113312032222010
5210014421142223241400
62022511143215325204
762153650426222246
oct5761402766165204
91015840133003124
10210110200212100
1160a47265504821
121b694920b20804
1390313cb243ca6
1439c5560772096
1519456ad976dba
hexbf1817d8ea84

210110200212100 has 72 divisors (see below), whose sum is σ = 456274176224328. Its totient is φ = 83982332928000.

The previous prime is 210110200211999. The next prime is 210110200212103. The reversal of 210110200212100 is 1212002011012.

210110200212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 392534828676 + 209717665383424 = 626526^2 + 14481632^2 .

It is not an unprimeable number, because it can be changed into a prime (210110200212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558185882 + ... + 1558320718.

It is an arithmetic number, because the mean of its divisors is an integer number (6337141336449).

Almost surely, 2210110200212100 is an apocalyptic number.

210110200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110200212100 is an abundant number, since it is smaller than the sum of its proper divisors (246163976012228).

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

210110200212100 is a wasteful number, since it uses less digits than its factorization.

210110200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146185 (or 146178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210110200212100 its reverse (1212002011012), we get a palindrome (211322202223112).

The spelling of 210110200212100 in words is "two hundred ten trillion, one hundred ten billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1601 3202 6404 8005 9733 16010 19466 32020 38932 40025 48665 80050 97330 134837 160100 194660 243325 269674 486650 539348 674185 973300 1348370 2696740 3370925 6741850 13483700 15582533 31165066 62330132 77912665 155825330 215874037 311650660 389563325 431748074 779126650 863496148 1079370185 1312368521 1558253300 2158740370 2624737042 4317480740 5249474084 5396850925 6561842605 10793701850 13123685210 21587403700 26247370420 32809213025 65618426050 131236852100 2101102002121 4202204004242 8404408008484 10505510010605 21011020021210 42022040042420 52527550053025 105055100106050 210110200212100