Search a number
-
+
11001111000000 = 2635611333367
BaseRepresentation
bin1010000000010110010101…
…0100000011001111000000
31102221200210100012022210120
42200011211110003033000
52420220233404000000
635221501324100240
72213542533422352
oct240054524031700
942850710168716
1011001111000000
1135615aa3a7730
121298109994680
1361a5286567c4
142a0656d390d2
1514126deb46a0
hexa01655033c0

11001111000000 has 392 divisors, whose sum is σ = 39691119447168. Its totient is φ = 2666928000000.

The previous prime is 11001110999993. The next prime is 11001111000001. The reversal of 11001111000000 is 11110011.

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.

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 (11001111000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32833317 + ... + 33166683.

Almost surely, 211001111000000 is an apocalyptic number.

11001111000000 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 11001111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845559723584).

11001111000000 is an abundant number, since it is smaller than the sum of its proper divisors (28690008447168).

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

11001111000000 is an frugal number, since it uses more digits than its factorization.

11001111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333423 (or 333388 counting only the distinct ones).

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

Adding to 11001111000000 its reverse (11110011), we get a palindrome (11001122110011).

The spelling of 11001111000000 in words is "eleven trillion, one billion, one hundred eleven million", and thus it is an aban number.