Search a number
-
+
11012211220200 = 23352175936435023
BaseRepresentation
bin1010000000111111101011…
…1100000001111011101000
31102222202102221012221022020
42200033322330001323220
52420411002033021300
635230535012224440
72214414600635361
oct240177274017350
942882387187266
1011012211220200
113566286167433
12129a2a730b120
1361b5a7270c38
142a0dcb256b68
151416bd74d8a0
hexa03faf01ee8

11012211220200 has 384 divisors, whose sum is σ = 36776017612800. Its totient is φ = 2715717611520.

The previous prime is 11012211220193. The next prime is 11012211220201. The reversal of 11012211220200 is 202211221011.

11012211220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012211220200.

It is not an unprimeable number, because it can be changed into a prime (11012211220201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192354889 + ... + 2192359911.

It is an arithmetic number, because the mean of its divisors is an integer number (95770879200).

Almost surely, 211012211220200 is an apocalyptic number.

11012211220200 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 11012211220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388008806400).

11012211220200 is an abundant number, since it is smaller than the sum of its proper divisors (25763806392600).

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

11012211220200 is a wasteful number, since it uses less digits than its factorization.

11012211220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11012211220200 its reverse (202211221011), we get a palindrome (11214422441211).

The spelling of 11012211220200 in words is "eleven trillion, twelve billion, two hundred eleven million, two hundred twenty thousand, two hundred".