Search a number
-
+
11122221110000 = 2454711132394649
BaseRepresentation
bin1010000111011001100000…
…0010011101001011110000
31110101021101201020100221012
42201312120002131023300
52424211302101010000
635353251114050052
72225361002366150
oct241663002351360
943337351210835
1011122221110000
1135a89a8951930
1212b7689419928
13628a898214a0
142a6465892760
151444ab64b735
hexa1d9809d2f0

11122221110000 has 800 divisors, whose sum is σ = 36314175744000. Its totient is φ = 3185925120000.

The previous prime is 11122221109991. The next prime is 11122221110053. The reversal of 11122221110000 is 1112222111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2392387676 + ... + 2392392324.

It is an arithmetic number, because the mean of its divisors is an integer number (45392719680).

Almost surely, 211122221110000 is an apocalyptic number.

11122221110000 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 11122221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157087872000).

11122221110000 is an abundant number, since it is smaller than the sum of its proper divisors (25191954634000).

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

11122221110000 is a wasteful number, since it uses less digits than its factorization.

11122221110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11122221110000 its reverse (1112222111), we get a palindrome (11123333332111).

11122221110000 divided by its reverse (1112222111) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1112222 and 1110000, that added together give a palindrome (2222222).

The spelling of 11122221110000 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand".