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20121111102020 = 22527732291124797
BaseRepresentation
bin1001001001100110011111…
…01011100000001001000100
32122020120002211100221120212
410210303033223200021010
510114131013420231040
6110443302201214552
74144462614266525
oct444631753401104
978216084327525
1020121111102020
11645835172a595
12230b733491458
13b2c549738106
144d7c1cd9284c
1524d5e2666d65
hex124ccfae0244

20121111102020 has 48 divisors (see below), whose sum is σ = 42420046877040. Its totient is φ = 8016898005504.

The previous prime is 20121111102007. The next prime is 20121111102031. The reversal of 20121111102020 is 2020111112102.

It can be written as a sum of positive squares in 8 ways, for example, as 1138864614976 + 18982246487044 = 1067176^2 + 4356862^2 .

It is a super-2 number, since 2×201211111020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121111101986 and 20121111102004.

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 15 ways as a sum of consecutive naturals, for example, 17326262 + ... + 18451058.

It is an arithmetic number, because the mean of its divisors is an integer number (883750976605).

Almost surely, 220121111102020 is an apocalyptic number.

20121111102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121111102020 is an abundant number, since it is smaller than the sum of its proper divisors (22298935775020).

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

20121111102020 is a wasteful number, since it uses less digits than its factorization.

20121111102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128312 (or 1128310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121111102020 its reverse (2020111112102), we get a palindrome (22141222214122).

The spelling of 20121111102020 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 3229 5540 6458 12916 16145 32290 64580 894433 1124797 1788866 2249594 3577732 4472165 4499188 5623985 8944330 11247970 17888660 22495940 311568769 623137538 1246275076 1557843845 3115687690 3631969513 6231375380 7263939026 14527878052 18159847565 36319695130 72639390260 1006055555101 2012111110202 4024222220404 5030277775505 10060555551010 20121111102020