Search a number
-
+
11100320314200 = 23335213673896067
BaseRepresentation
bin1010000110000111111010…
…1001100011001101011000
31110022011212102000200001000
42201201332221203031120
52423331424000023300
635335230004025000
72223654166606425
oct241417651431530
943264772020030
1011100320314200
11359a68a483897
1212b3396992160
136269a93c4a10
142a5388d76d4c
15143b28ab6c00
hexa187ea63358

11100320314200 has 768 divisors, whose sum is σ = 41904442944000. Its totient is φ = 2684242851840.

The previous prime is 11100320314199. The next prime is 11100320314207. The reversal of 11100320314200 is 241302300111.

11100320314200 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 320 + 314 + 20 + 0 = 666.

It is a super-2 number, since 2×111003203142002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100320314207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1829619567 + ... + 1829625633.

It is an arithmetic number, because the mean of its divisors is an integer number (54563076750).

Almost surely, 211100320314200 is an apocalyptic number.

11100320314200 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 11100320314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20952221472000).

11100320314200 is an abundant number, since it is smaller than the sum of its proper divisors (30804122629800).

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

11100320314200 is a wasteful number, since it uses less digits than its factorization.

11100320314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11100320314200 its reverse (241302300111), we get a palindrome (11341622614311).

The spelling of 11100320314200 in words is "eleven trillion, one hundred billion, three hundred twenty million, three hundred fourteen thousand, two hundred".