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1100011220 = 2257111933701
BaseRepresentation
bin100000110010000…
…1101011011010100
32211122212100201022
41001210031123110
54223100324340
6301053020312
736154640540
oct10144153324
92748770638
101100011220
11514a22790
12268484698
13146b85b19
14a6142a20
15668893b5
hex4190d6d4

1100011220 has 96 divisors (see below), whose sum is σ = 2895734016. Its totient is φ = 340992000.

The previous prime is 1100011207. The next prime is 1100011229. The reversal of 1100011220 is 221100011.

It is a junction number, because it is equal to n+sod(n) for n = 1100011198 and 1100011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295370 + ... + 299070.

It is an arithmetic number, because the mean of its divisors is an integer number (30163896).

Almost surely, 21100011220 is an apocalyptic number.

1100011220 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 1100011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447867008).

1100011220 is an abundant number, since it is smaller than the sum of its proper divisors (1795722796).

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

1100011220 is a wasteful number, since it uses less digits than its factorization.

1100011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3919 counting only the distinct ones).

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

The square root of 1100011220 is about 33166.4170509870. The cubic root of 1100011220 is about 1032.2836251968.

Adding to 1100011220 its reverse (221100011), we get a palindrome (1321111231).

The spelling of 1100011220 in words is "one billion, one hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 193 220 308 385 386 770 772 965 1351 1540 1930 2123 2702 3701 3860 4246 5404 6755 7402 8492 10615 13510 14804 14861 18505 21230 25907 27020 29722 37010 40711 42460 51814 59444 74020 74305 81422 103628 129535 148610 162844 203555 259070 284977 297220 407110 518140 569954 714293 814220 1139908 1424885 1428586 2849770 2857172 3571465 5000051 5699540 7142930 7857223 10000102 14285860 15714446 20000204 25000255 31428892 39286115 50000510 55000561 78572230 100001020 110001122 157144460 220002244 275002805 550005610 1100011220