Search a number
-
+
11103220330200 = 2334521579834441
BaseRepresentation
bin1010000110010010101110…
…0000001110111011011000
31110022110100111220202010000
42201210223200032323120
52423403343401031300
635340425441253000
72224116102414525
oct241445340167330
943273314822100
1011103220330200
1135a0938463829
1212b3a66034160
1362704c16cb0b
142a558219414c
15143c484aac00
hexa192b80eed8

11103220330200 has 480 divisors, whose sum is σ = 38856981699360. Its totient is φ = 2938345113600.

The previous prime is 11103220330177. The next prime is 11103220330247. The reversal of 11103220330200 is 203302230111.

11103220330200 is a `hidden beast` number, since 1 + 1 + 10 + 322 + 0 + 330 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2500159980 + ... + 2500164420.

It is an arithmetic number, because the mean of its divisors is an integer number (80952045207).

Almost surely, 211103220330200 is an apocalyptic number.

11103220330200 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 11103220330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19428490849680).

11103220330200 is an abundant number, since it is smaller than the sum of its proper divisors (27753761369160).

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

11103220330200 is a wasteful number, since it uses less digits than its factorization.

11103220330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11103220330200 its reverse (203302230111), we get a palindrome (11306522560311).

The spelling of 11103220330200 in words is "eleven trillion, one hundred three billion, two hundred twenty million, three hundred thirty thousand, two hundred".