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11124404020 = 2252360739841
BaseRepresentation
bin10100101110001000…
…01110111100110100
31001201021112021110201
422113010032330310
5140240321412040
65035510330244
7542446605532
oct122704167464
931637467421
1011124404020
114799488434
1221a5659984
131083933cb2
14777615152
15451964a9a
hex29710ef34

11124404020 has 48 divisors (see below), whose sum is σ = 24417727488. Its totient is φ = 4249175040.

The previous prime is 11124403987. The next prime is 11124404021. The reversal of 11124404020 is 2040442111.

11124404020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124404021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259300 + ... + 299140.

It is an arithmetic number, because the mean of its divisors is an integer number (508702656).

Almost surely, 211124404020 is an apocalyptic number.

11124404020 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 11124404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208863744).

11124404020 is an abundant number, since it is smaller than the sum of its proper divisors (13293323468).

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

11124404020 is a wasteful number, since it uses less digits than its factorization.

11124404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40480 (or 40478 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11124404020 its reverse (2040442111), we get a palindrome (13164846131).

The spelling of 11124404020 in words is "eleven billion, one hundred twenty-four million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 607 1214 2428 3035 6070 12140 13961 27922 39841 55844 69805 79682 139610 159364 199205 279220 398410 796820 916343 1832686 3665372 4581715 9163430 18326860 24183487 48366974 96733948 120917435 241834870 483669740 556220201 1112440402 2224880804 2781101005 5562202010 11124404020