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1100120021 = 73112132039
BaseRepresentation
bin100000110010010…
…0111111111010101
32211200001212221222
41001210213333111
54223112320041
6301055220125
736155603000
oct10144477725
92750055858
101100120021
11514a97500
12268517645
13146bc34c0
14a6170537
15668ab74b
hex41927fd5

1100120021 has 48 divisors (see below), whose sum is σ = 1519392000. Its totient is φ = 790907040.

The previous prime is 1100120009. The next prime is 1100120039. The reversal of 1100120021 is 1200210011.

It is not a de Polignac number, because 1100120021 - 26 = 1100119957 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100119990 and 1100120008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100120621) 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 47 ways as a sum of consecutive naturals, for example, 538520 + ... + 540558.

It is an arithmetic number, because the mean of its divisors is an integer number (31654000).

Almost surely, 21100120021 is an apocalyptic number.

1100120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100120021 is a deficient number, since it is larger than the sum of its proper divisors (419271979).

1100120021 is a wasteful number, since it uses less digits than its factorization.

1100120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100120021 is about 33168.0572388556. The cubic root of 1100120021 is about 1032.3176581188.

Adding to 1100120021 its reverse (1200210011), we get a palindrome (2300330032).

It can be divided in two parts, 1100 and 120021, that added together give a palindrome (121121).

The spelling of 1100120021 in words is "one billion, one hundred million, one hundred twenty thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 343 539 637 847 1001 1573 2039 3773 4459 5929 7007 11011 14273 22429 26507 41503 49049 77077 99911 157003 185549 246719 291577 539539 699377 1099021 1298843 1727033 2041039 3207347 7693147 9091901 12089231 14287273 22451429 84624617 100010911 157160003 1100120021