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20212122202120 = 2353553714219069
BaseRepresentation
bin1001001100010000000000…
…10111010011000000001000
32122120021000112210212022001
410212020000113103000020
510122123411240431440
6110553153141040344
74154164142005012
oct446100027230010
978507015725261
1020212122202120
116492a050660a2
1223252b29b60b4
13b37cc1b82a74
144dc3b428b1b2
15250b6c668b9a
hex1262005d3008

20212122202120 has 32 divisors (see below), whose sum is σ = 45478557869400. Its totient is φ = 8084620807168.

The previous prime is 20212122202109. The next prime is 20212122202243. The reversal of 20212122202120 is 2120222121202.

It can be written as a sum of positive squares in 4 ways, for example, as 19382059080036 + 830063122084 = 4402506^2 + 911078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5688055 + ... + 8531014.

Almost surely, 220212122202120 is an apocalyptic number.

20212122202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212122202120 is an abundant number, since it is smaller than the sum of its proper divisors (25266435667280).

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

20212122202120 is a wasteful number, since it uses less digits than its factorization.

20212122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254617 (or 14254613 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20212122202120 its reverse (2120222121202), we get a palindrome (22332344323322).

The spelling of 20212122202120 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 35537 71074 142148 177685 284296 355370 710740 1421480 14219069 28438138 56876276 71095345 113752552 142190690 284381380 568762760 505303055053 1010606110106 2021212220212 2526515275265 4042424440424 5053030550530 10106061101060 20212122202120