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20212124020040 = 235505303100501
BaseRepresentation
bin1001001100010000000000…
…11110001110110101001000
32122120021000200020020000102
410212020000132032311020
510122123412222120130
6110553153244024532
74154164163316041
oct446100036166510
978507020206012
1020212124020040
116492a06097a07
1223252b3532148
13b37cc236b364
144dc3b46018c8
15250b6c8c7645
hex12620078ed48

20212124020040 has 16 divisors (see below), whose sum is σ = 45477279045180. Its totient is φ = 8084849608000.

The previous prime is 20212124020021. The next prime is 20212124020087. The reversal of 20212124020040 is 4002042121202.

It can be written as a sum of positive squares in 2 ways, for example, as 20183975904964 + 28148115076 = 4492658^2 + 167774^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20212124019994 and 20212124020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252651550211 + ... + 252651550290.

Almost surely, 220212124020040 is an apocalyptic number.

20212124020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212124020040 is an abundant number, since it is smaller than the sum of its proper divisors (25265155025140).

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

20212124020040 is a wasteful number, since it uses less digits than its factorization.

20212124020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505303100512 (or 505303100508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20212124020040 its reverse (4002042121202), we get a palindrome (24214166141242).

The spelling of 20212124020040 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 505303100501 1010606201002 2021212402004 2526515502505 4042424804008 5053031005010 10106062010020 20212124020040