Search a number
-
+
11331100200 = 2335272819601
BaseRepresentation
bin10101000110110001…
…01101111000101000
31002020200110112022210
422203120231320220
5141201230201300
65112212445120
7550536522360
oct124330557050
932220415283
1011331100200
114895124322
1222429197a0
1310b76c4124
14796c5b9a0
15464b93050
hex2a362de28

11331100200 has 192 divisors, whose sum is σ = 40291528320. Its totient is φ = 2580480000.

The previous prime is 11331100189. The next prime is 11331100217. The reversal of 11331100200 is 200113311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175400 + ... + 1185000.

It is an arithmetic number, because the mean of its divisors is an integer number (209851710).

Almost surely, 211331100200 is an apocalyptic number.

11331100200 is a gapful number since it is divisible by the number (10) 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 11331100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145764160).

11331100200 is an abundant number, since it is smaller than the sum of its proper divisors (28960428120).

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

11331100200 is a wasteful number, since it uses less digits than its factorization.

11331100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11331100200 its reverse (200113311), we get a palindrome (11531213511).

The spelling of 11331100200 in words is "eleven billion, three hundred thirty-one million, one hundred thousand, two hundred".