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20101222202020 = 22561117771399033
BaseRepresentation
bin1001001001000001011100…
…01101010111101010100100
32122011122202201220010212221
410210200232031113222210
510113314300340431040
6110430212441122124
74143160011365401
oct444405615275244
978148681803787
1020101222202020
11644a975993653
122307902789344
13b2a6ca08c42b
144d6c9374b2a8
1524cd2b54474a
hex12482e357aa4

20101222202020 has 48 divisors (see below), whose sum is σ = 42908249665008. Its totient is φ = 7908000399360.

The previous prime is 20101222201961. The next prime is 20101222202023. The reversal of 20101222202020 is 2020222210102.

It can be written as a sum of positive squares in 8 ways, for example, as 759112704 + 20100463089316 = 27552^2 + 4483354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20101222201985 and 20101222202003.

It is not an unprimeable number, because it can be changed into a prime (20101222202023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13668424 + ... + 15067456.

It is an arithmetic number, because the mean of its divisors is an integer number (893921868021).

Almost surely, 220101222202020 is an apocalyptic number.

20101222202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101222202020 is an abundant number, since it is smaller than the sum of its proper divisors (22807027462988).

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

20101222202020 is a wasteful number, since it uses less digits than its factorization.

20101222202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410880 (or 1410878 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20101222202020 its reverse (2020222210102), we get a palindrome (22121444412122).

The spelling of 20101222202020 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 11777 23554 47108 58885 117770 235540 718397 1399033 1436794 2798066 2873588 3591985 5596132 6995165 7183970 13990330 14367940 27980660 85341013 170682026 341364052 426705065 853410130 1706820260 16476411641 32952823282 65905646564 82382058205 164764116410 329528232820 1005061110101 2010122220202 4020244440404 5025305550505 10050611101010 20101222202020