Search a number
-
+
2104202210200 = 2352176143323431
BaseRepresentation
bin11110100111101100001…
…110011010101110011000
321110011022110200120220121
4132213230032122232120
5233433401231211300
64250353540003024
7305011043451166
oct36475416325630
97404273616817
102104202210200
11741429322682
1229b985090474
1312356b84480c
1473bb5a60236
1539b060d181a
hex1e9ec39ab98

2104202210200 has 192 divisors, whose sum is σ = 5277354102720. Its totient is φ = 777351168000.

The previous prime is 2104202210107. The next prime is 2104202210249. The reversal of 2104202210200 is 20122024012.

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, 89792485 + ... + 89815915.

It is an arithmetic number, because the mean of its divisors is an integer number (27486219285).

Almost surely, 22104202210200 is an apocalyptic number.

2104202210200 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 2104202210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638677051360).

2104202210200 is an abundant number, since it is smaller than the sum of its proper divisors (3173151892520).

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

2104202210200 is a wasteful number, since it uses less digits than its factorization.

2104202210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23958 (or 23949 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2104202210200 its reverse (20122024012), we get a palindrome (2124324234212).

The spelling of 2104202210200 in words is "two trillion, one hundred four billion, two hundred two million, two hundred ten thousand, two hundred".