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11200220020 = 22511314633547
BaseRepresentation
bin10100110111001010…
…11100101101110100
31001220120012010110201
422123211130231310
5140414224020040
65051215330244
7544360204453
oct123345345564
931816163421
1011200220020
114828261090
122206b20984
13109655ab32
1478370cb9a
1545843da9a
hex29b95cb74

11200220020 has 96 divisors (see below), whose sum is σ = 26551074816. Its totient is φ = 3931804800.

The previous prime is 11200219999. The next prime is 11200220033. The reversal of 11200220020 is 2002200211.

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 = 11200219979 and 11200220006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155887 + ... + 3159433.

It is an arithmetic number, because the mean of its divisors is an integer number (276573696).

Almost surely, 211200220020 is an apocalyptic number.

11200220020 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 11200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275537408).

11200220020 is an abundant number, since it is smaller than the sum of its proper divisors (15350854796).

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

11200220020 is a wasteful number, since it uses less digits than its factorization.

11200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11200220020 its reverse (2002200211), we get a palindrome (13202420231).

It can be divided in two parts, 1 and 1200220020, that added together give a palindrome (1200220021).

The spelling of 11200220020 in words is "eleven billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 463 620 682 926 1364 1705 1852 2315 3410 3547 4630 5093 6820 7094 9260 10186 14188 14353 17735 20372 25465 28706 35470 39017 50930 57412 70940 71765 78034 101860 109957 143530 156068 157883 195085 219914 287060 315766 390170 439828 549785 631532 780340 789415 1099570 1209527 1578830 1642261 2199140 2419054 3157660 3284522 4838108 6047635 6569044 8211305 12095270 16422610 18064871 24190540 32845220 36129742 50910091 72259484 90324355 101820182 180648710 203640364 254550455 361297420 509100910 560011001 1018201820 1120022002 2240044004 2800055005 5600110010 11200220020