Search a number
-
+
11224041100400 = 245228060102751
BaseRepresentation
bin1010001101010100110011…
…1110111001010001110000
31110202000012201111210122202
42203111030332321101300
52432343314010203100
635512130413522332
72235624126131132
oct243251476712160
943660181453582
1011224041100400
1136380a8655727
1213133647a33a8
136355653ccc0b
142ab364511052
15146e6a53c7d5
hexa354cfb9470

11224041100400 has 30 divisors (see below), whose sum is σ = 26965758744672. Its totient is φ = 4489616440000.

The previous prime is 11224041100373. The next prime is 11224041100439. The reversal of 11224041100400 is 400114042211.

11224041100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14030050976 + ... + 14030051775.

Almost surely, 211224041100400 is an apocalyptic number.

11224041100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224041100400 is an abundant number, since it is smaller than the sum of its proper divisors (15741717644272).

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

11224041100400 is a wasteful number, since it uses less digits than its factorization.

11224041100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28060102769 (or 28060102758 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11224041100400 its reverse (400114042211), we get a palindrome (11624155142611).

The spelling of 11224041100400 in words is "eleven trillion, two hundred twenty-four billion, forty-one million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28060102751 56120205502 112240411004 140300513755 224480822008 280601027510 448961644016 561202055020 701502568775 1122404110040 1403005137550 2244808220080 2806010275100 5612020550200 11224041100400