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11120120020 = 22531311931489
BaseRepresentation
bin10100101101100111…
…11001000011010100
31001200222110121221001
422112303321003110
5140233222320040
65035234433044
7542365313662
oct122663710324
931628417831
1011120120020
114797021839
1221a4132784
131082a94099
14776c1bc32
154513ba59a
hex296cf90d4

11120120020 has 48 divisors (see below), whose sum is σ = 23462243280. Its totient is φ = 4427145216.

The previous prime is 11120120009. The next prime is 11120120059. The reversal of 11120120020 is 2002102111.

11120120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3228285124 + 7891834896 = 56818^2 + 88836^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11120119979 and 11120120006.

It is a congruent number.

It is an unprimeable number.

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, 7467436 + ... + 7468924.

It is an arithmetic number, because the mean of its divisors is an integer number (488796735).

Almost surely, 211120120020 is an apocalyptic number.

11120120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120120020 is an abundant number, since it is smaller than the sum of its proper divisors (12342123260).

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

11120120020 is a wasteful number, since it uses less digits than its factorization.

11120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11120120020 its reverse (2002102111), we get a palindrome (13122222131).

The spelling of 11120120020 in words is "eleven billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 313 626 1193 1252 1489 1565 2386 2978 3130 4772 5956 5965 6260 7445 11930 14890 23860 29780 373409 466057 746818 932114 1493636 1776377 1864228 1867045 2330285 3552754 3734090 4660570 7105508 7468180 8881885 9321140 17763770 35527540 556006001 1112012002 2224024004 2780030005 5560060010 11120120020