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10202212220020 = 2252917590021069
BaseRepresentation
bin1001010001110110001100…
…1111000011110001110100
31100010022200201012100200121
42110131203033003301310
52314123112312020040
633410455342421324
72102041221014332
oct224354317036164
940108621170617
1010202212220020
113283808910927
121189310291844
135900ab897212
14273b0ad4cb52
1512a5b26e9c4a
hex947633c3c74

10202212220020 has 24 divisors (see below), whose sum is σ = 22163426548200. Its totient is φ = 3940164719232.

The previous prime is 10202212220003. The next prime is 10202212220063. The reversal of 10202212220020 is 2002221220201.

10202212220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3965984624484 + 6236227595536 = 1991478^2 + 2497244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202212219976 and 10202212220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8795009955 + ... + 8795011114.

It is an arithmetic number, because the mean of its divisors is an integer number (923476106175).

Almost surely, 210202212220020 is an apocalyptic number.

10202212220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202212220020 is an abundant number, since it is smaller than the sum of its proper divisors (11961214328180).

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

10202212220020 is a wasteful number, since it uses less digits than its factorization.

10202212220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590021107 (or 17590021105 counting only the distinct ones).

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

Adding to 10202212220020 its reverse (2002221220201), we get a palindrome (12204433440221).

The spelling of 10202212220020 in words is "ten trillion, two hundred two billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17590021069 35180042138 70360084276 87950105345 175900210690 351800421380 510110611001 1020221222002 2040442444004 2550553055005 5101106110010 10202212220020