Search a number
-
+
2111100002200 = 2352729139374083
BaseRepresentation
bin11110101110000111010…
…111011001111110011000
321110211010012002201200101
4132232013113121332120
5234042013100032300
64253454223345144
7305344011641020
oct36560727317630
97424105081611
102111100002200
11744348a07922
122a118b1521b4
131240ca912c47
147426bbb2a80
1539dab95bb6a
hex1eb875d9f98

2111100002200 has 192 divisors, whose sum is σ = 5844688416000. Its totient is φ = 693817367040.

The previous prime is 2111100002183. The next prime is 2111100002203. The reversal of 2111100002200 is 22000011112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111100002203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5456359 + ... + 5830441.

It is an arithmetic number, because the mean of its divisors is an integer number (30441085500).

Almost surely, 22111100002200 is an apocalyptic number.

2111100002200 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 2111100002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922344208000).

2111100002200 is an abundant number, since it is smaller than the sum of its proper divisors (3733588413800).

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

2111100002200 is a wasteful number, since it uses less digits than its factorization.

2111100002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374274 (or 374265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2111100002200 its reverse (22000011112), we get a palindrome (2133100013312).

The spelling of 2111100002200 in words is "two trillion, one hundred eleven billion, one hundred million, two thousand, two hundred".