Search a number
-
+
11000011110000 = 2435411167199601
BaseRepresentation
bin1010000000010010001111…
…0000010011011001110000
31102221120221200120010100220
42200010203300103121300
52420211010321010000
635221200233413040
72213503346465103
oct240044360233160
942846850503326
1011000011110000
113561095558030
121297a6156a180
1361a3b1813c13
142a0590c2873a
151412076511a0
hexa0123c13670

11000011110000 has 400 divisors, whose sum is σ = 38969796273408. Its totient is φ = 2650688000000.

The previous prime is 11000011109993. The next prime is 11000011110001. The reversal of 11000011110000 is 1111000011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

11000011110000 is a modest number, since divided by 11110000 gives 110000 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000011110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55010200 + ... + 55209800.

Almost surely, 211000011110000 is an apocalyptic number.

11000011110000 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 11000011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484898136704).

11000011110000 is an abundant number, since it is smaller than the sum of its proper divisors (27969785163408).

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

11000011110000 is a wasteful number, since it uses less digits than its factorization.

11000011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199810 (or 199789 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000011110000 its reverse (1111000011), we get a palindrome (11001122110011).

The spelling of 11000011110000 in words is "eleven trillion, eleven million, one hundred ten thousand".