Search a number
-
+
2100001110200 = 23527101107138799
BaseRepresentation
bin11110100011110001110…
…100011111100010111000
321102202110200120121010022
4132203301310133202320
5233401300241011300
64244421023510012
7304501661626220
oct36436164374270
97382420517108
102100001110200
1173a672975004
1229abb2158308
1312304c372226
14738d7b1d080
153995c386285
hex1e8f1d1f8b8

2100001110200 has 192 divisors, whose sum is σ = 5687957376000. Its totient is φ = 706204224000.

The previous prime is 2100001110197. The next prime is 2100001110211. The reversal of 2100001110200 is 20111000012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15060401 + ... + 15199199.

It is an arithmetic number, because the mean of its divisors is an integer number (29624778000).

Almost surely, 22100001110200 is an apocalyptic number.

2100001110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100001110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843978688000).

2100001110200 is an abundant number, since it is smaller than the sum of its proper divisors (3587956265800).

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

2100001110200 is a wasteful number, since it uses less digits than its factorization.

2100001110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139030 (or 139021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100001110200 its reverse (20111000012), we get a palindrome (2120112110212).

The spelling of 2100001110200 in words is "two trillion, one hundred billion, one million, one hundred ten thousand, two hundred".