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20021212020100 = 2252200212120201
BaseRepresentation
bin1001000110101100011010…
…01110101111110110000100
32121220000020200121202220211
410203112031032233312010
510111011420234120400
6110325341241205204
74134325204146034
oct443261516576604
977800220552824
1020021212020100
116419a48262765
1222b42b3490804
13b22cb8b01015
144d30634c18c4
1524abe7213dba
hex12358d3afd84

20021212020100 has 18 divisors (see below), whose sum is σ = 43446030083834. Its totient is φ = 8008484808000.

The previous prime is 20021212020071. The next prime is 20021212020143. The reversal of 20021212020100 is 102021212002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3230165074756 + 16791046945344 = 1797266^2 + 4097688^2 .

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 5 ways as a sum of consecutive naturals, for example, 100106060001 + ... + 100106060200.

Almost surely, 220021212020100 is an apocalyptic number.

20021212020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212020100 is an abundant number, since it is smaller than the sum of its proper divisors (23424818063734).

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

20021212020100 is a wasteful number, since it uses less digits than its factorization.

20021212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200212120215 (or 200212120208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021212020100 its reverse (102021212002), we get a palindrome (20123233232102).

The spelling of 20021212020100 in words is "twenty trillion, twenty-one billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200212120201 400424240402 800848480804 1001060601005 2002121202010 4004242404020 5005303005025 10010606010050 20021212020100