Search a number
-
+
11220220211100 = 2235267637987509
BaseRepresentation
bin1010001101000110100100…
…1111010110111110011100
31110201122100102211111220020
42203101221033112332130
52432313002333223400
635510255322552140
72235430342120155
oct243215117267634
943648312744806
1011220220211100
113636517886a7a
121312679068650
136350a6930684
142ab0c0ca292c
15146ce4d972a0
hexa34693d6f9c

11220220211100 has 144 divisors (see below), whose sum is σ = 32953913731200. Its totient is φ = 2946905406720.

The previous prime is 11220220211099. The next prime is 11220220211113. The reversal of 11220220211100 is 111202202211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220220211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128174146 + ... + 128261654.

Almost surely, 211220220211100 is an apocalyptic number.

11220220211100 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 11220220211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476956865600).

11220220211100 is an abundant number, since it is smaller than the sum of its proper divisors (21733693520100).

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

11220220211100 is a wasteful number, since it uses less digits than its factorization.

11220220211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93972 (or 93965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220220211100 its reverse (111202202211), we get a palindrome (11331422413311).

The spelling of 11220220211100 in words is "eleven trillion, two hundred twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6379 6700 10050 12758 19137 20100 25516 31895 38274 63790 76548 87509 95685 127580 159475 175018 191370 262527 318950 350036 382740 427393 437545 478425 525054 637900 854786 875090 956850 1050108 1282179 1312635 1709572 1750180 1913700 2136965 2187725 2564358 2625270 4273930 4375450 5128716 5250540 5863103 6410895 6563175 8547860 8750900 10684825 11726206 12821790 13126350 17589309 21369650 23452412 25643580 26252700 29315515 32054475 35178618 42739300 58631030 64108950 70357236 87946545 117262060 128217900 146577575 175893090 293155150 351786180 439732725 558219911 586310300 879465450 1116439822 1674659733 1758930900 2232879644 2791099555 3349319466 5582199110 6698638932 8373298665 11164398220 13955497775 16746597330 27910995550 33493194660 37400734037 41866493325 55821991100 74801468074 83732986650 112202202111 149602936148 167465973300 187003670185 224404404222 374007340370 448808808444 561011010555 748014680740 935018350925 1122022021110 1870036701850 2244044042220 2805055052775 3740073403700 5610110105550 11220220211100