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11122300411220 = 2255319354366509
BaseRepresentation
bin1010000111011001110011…
…0000111101110101010100
31110101021121020110021202102
42201312130300331311110
52424211432401124340
635353303025501232
72225362654422065
oct241663460756524
943337536407672
1011122300411220
1135a8a39696029
1212b76abaa1818
13628aa009879b
142a647221656c
151444b35b3215
hexa1d9cc3dd54

11122300411220 has 48 divisors (see below), whose sum is σ = 23920829467920. Its totient is φ = 4342361726976.

The previous prime is 11122300411213. The next prime is 11122300411237. The reversal of 11122300411220 is 2211400322111.

It can be written as a sum of positive squares in 8 ways, for example, as 570015940036 + 10552284471184 = 754994^2 + 3248428^2 .

It is a super-2 number, since 2×111223004112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11122300411192 and 11122300411201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26978675 + ... + 27387834.

It is an arithmetic number, because the mean of its divisors is an integer number (498350613915).

Almost surely, 211122300411220 is an apocalyptic number.

11122300411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122300411220 is an abundant number, since it is smaller than the sum of its proper divisors (12798529056700).

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

11122300411220 is a wasteful number, since it uses less digits than its factorization.

11122300411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54366764 (or 54366762 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11122300411220 its reverse (2211400322111), we get a palindrome (13333700733331).

The spelling of 11122300411220 in words is "eleven trillion, one hundred twenty-two billion, three hundred million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 193 212 265 386 530 772 965 1060 1930 3860 10229 20458 40916 51145 102290 204580 54366509 108733018 217466036 271832545 543665090 1087330180 2881424977 5762849954 10492736237 11525699908 14407124885 20985472474 28814249770 41970944948 52463681185 57628499540 104927362370 209854724740 556115020561 1112230041122 2224460082244 2780575102805 5561150205610 11122300411220