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11211122220020 = 22529109731761553
BaseRepresentation
bin1010001100100100101011…
…1101010001101111110100
31110200202212101100200101122
42203021022331101233310
52432140334242020040
635502152441243112
72234656026351632
oct243111275215764
943622771320348
1011211122220020
113632679246688
12131095a193498
13634286a910b8
142aa89a860352
151469612b11b5
hexa324af51bf4

11211122220020 has 48 divisors (see below), whose sum is σ = 24357429930960. Its totient is φ = 4329415673856.

The previous prime is 11211122220017. The next prime is 11211122220059. The reversal of 11211122220020 is 2002222111211.

It can be written as a sum of positive squares in 8 ways, for example, as 44858392804 + 11166263827216 = 211798^2 + 3341596^2 .

It is a super-2 number, since 2×112111222200202 (a number of 27 digits) contains 22 as substring.

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, 5483564 + ... + 7245116.

It is an arithmetic number, because the mean of its divisors is an integer number (507446456895).

Almost surely, 211211122220020 is an apocalyptic number.

11211122220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211122220020 is an abundant number, since it is smaller than the sum of its proper divisors (13146307710940).

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

11211122220020 is a wasteful number, since it uses less digits than its factorization.

11211122220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772564 (or 1772562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11211122220020 its reverse (2002222111211), we get a palindrome (13213344331231).

The spelling of 11211122220020 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 10973 21946 43892 54865 109730 219460 318217 636434 1272868 1591085 1761553 3182170 3523106 6364340 7046212 8807765 17615530 35231060 51085037 102170074 204340148 255425185 510850370 1021700740 19329521069 38659042138 77318084276 96647605345 193295210690 386590421380 560556111001 1121112222002 2242224444004 2802780555005 5605561110010 11211122220020