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20212400430240 = 2535195713881387
BaseRepresentation
bin1001001100010000100001…
…11100101001110010100000
32122120021201221100022112020
410212020100330221302200
510122124444002231430
6110553240520301440
74154204060625504
oct446102074516240
978507657308466
1020212400430240
116493038119a97
122325370011880
13b380376c9aa5
144dc3dd1d4304
15250b86cc6b10
hex126210f29ca0

20212400430240 has 192 divisors, whose sum is σ = 67137455024640. Its totient is φ = 5097346606080.

The previous prime is 20212400430239. The next prime is 20212400430253. The reversal of 20212400430240 is 4203400421202.

It is a super-2 number, since 2×202124004302402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20212400430240.

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 31 ways as a sum of consecutive naturals, for example, 3266827 + ... + 7148213.

It is an arithmetic number, because the mean of its divisors is an integer number (349674244920).

Almost surely, 220212400430240 is an apocalyptic number.

20212400430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212400430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33568727512320).

20212400430240 is an abundant number, since it is smaller than the sum of its proper divisors (46925054594400).

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

20212400430240 is a wasteful number, since it uses less digits than its factorization.

20212400430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881995 (or 3881987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20212400430240 its reverse (4203400421202), we get a palindrome (24415800851442).

The spelling of 20212400430240 in words is "twenty trillion, two hundred twelve billion, four hundred million, four hundred thirty thousand, two hundred forty".